This factor label method worksheet with answers has 40 unit conversions in four sets, from a single factor to chains with rates and cubed units. Every answer shows its set-up on one line. The method is also called dimensional analysis.
Read the full guide
How the factor-label method works
Write the measurement with its unit. Multiply by a conversion factor written as a fraction, with the unit you want to lose on the bottom. Cancel units the way you cancel numbers. Repeat until only the unit you want is left, then do the arithmetic.
Four sets, then paper
One factor gives the factor in the question. Metric to metric uses the prefixes. US customary and metric uses factors from the National Institute of Standards and Technology. Chains adds rates and squared or cubed units. The page opens on its worksheet of all 40 problems: remove any, tick With answer key, then press Print the worksheet.
A conversion factor equals 1, so it changes the unit and not the amount.
For a squared or cubed unit, square or cube the whole factor.
Round at the end, to the significant figures of the measurement you started with.
Questions and answers
What is the factor-label method?
A way to convert units by multiplying by fractions equal to 1, such as 2.54 cm / 1 in, set up so that the unwanted units cancel. It is also called dimensional analysis.
Which conversion factors are exact?
By definition 1 in = 2.54 cm, 1 ft = 0.3048 m, 1 yd = 0.9144 m and 1 mi = 1.609344 km, and metric prefixes are exact powers of ten. An exact factor does not limit the significant figures of an answer.
How do I convert km/h to m/s?
Multiply by (1,000 m / 1 km) and by (1 h / 3,600 s). Kilometers and hours cancel, so 90.0 km/h is 25.0 m/s.
Does the printed worksheet come with answers?
Yes. Tick With answer key beside Print the worksheet and the key prints after the problems; the sheet opens with all 40.
All 40 questions with answers
One factor, the right way up 10
The conversion factor (2.54 cm / 1 in) is equal to which number?Answer: 1. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many centimeters is 8.50 inches? (1 in = 2.54 cm)Answer: 21.6 cm. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many grams is 0.250 pound? (1 lb = 453.5924 g)Answer: 113 g. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many inches is 127 centimeters? (1 in = 2.54 cm)Answer: 50.0 in. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many kilometers is 5.00 miles? (1 mi = 1.609344 km)Answer: 8.05 km. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many miles is 10.0 kilometers? (1 mi = 1.609344 km)Answer: 6.21 mi. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many pounds is 500 grams? (1 lb = 453.5924 g) Treat 500 as three significant figures.Answer: 1.10 lb. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
In a factor-label set-up, where does the unit you want to get rid of go?Answer: On the bottom of the conversion factor. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
Which set-up converts 12.0 inches to centimeters? (1 in = 2.54 cm)Answer: 12.0 in × (2.54 cm / 1 in). Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
Which set-up converts 127 centimeters to inches? (1 in = 2.54 cm)Answer: 127 cm × (1 in / 2.54 cm). Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
Show all 40 problems (30 more)
Metric to metric 10
How many centimeters is 3.20 kilometers?Answer: 320,000 cm. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
How many grams is 0.125 kilogram?Answer: 125 g. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
How many grams is 1,255 milligrams?Answer: 1.255 g. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
How many liters is 455 milliliters?Answer: 0.455 L. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
How many meters is 3.56 kilometers?Answer: 3,560 m. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
How many meters is 85.0 centimeters?Answer: 0.850 m. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
How many milligrams is 2.75 grams?Answer: 2,750 mg. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
How many milligrams is 4.60 kilograms?Answer: 4,600,000 mg. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
How many millimeters is 65.0 micrometers? (1 mm = 1,000 µm)Answer: 0.0650 mm. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
Which factor converts milliliters to liters?Answer: (1 L / 1,000 mL). Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
US customary and metric 10
A marathon is 26.2 miles. How many kilometers is that? (1 mi = 1.609344 km)Answer: 42.2 km. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many feet is 100.0 meters? (1 ft = 0.3048 m)Answer: 328.1 ft. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many kilograms is 150 pounds? (1 lb = 0.4535924 kg) Treat 150 as three significant figures.Answer: 68.0 kg. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many liters is 5.00 US gallons? (1 gal = 3.785412 L)Answer: 18.9 L. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many meters is 6.00 feet? (1 ft = 0.3048 m)Answer: 1.83 m. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many meters is 72.0 inches? (1 in = 2.54 cm)Answer: 1.83 m. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many milliliters is 12.0 US fluid ounces? (1 fl oz = 29.57353 mL)Answer: 355 mL. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many US liquid quarts is 2.00 liters? (1 qt = 0.9463529 L)Answer: 2.11 qt. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many yards is 100.0 meters? (1 yd = 0.9144 m)Answer: 109.4 yd. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
Which set-up converts 150 pounds to kilograms? (1 lb = 0.4535924 kg)Answer: 150 lb × (0.4535924 kg / 1 lb). Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
Chains, rates and cubed units 10
A car travels at 90.0 km/h. What is that in meters per second?Answer: 25.0 m/s. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
A sprinter runs at 10.0 m/s. What is that in kilometers per hour?Answer: 36.0 km/h. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many liters is 1.50 cubic meters? (1 m³ = 1,000 L)Answer: 1,500 L. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many liters is 250 cubic centimeters? (1 L = 1,000 cm³) Treat 250 as three significant figures.Answer: 0.250 L. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many seconds are in 1.00 day?Answer: 86,400 s. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many seconds is 2.50 hours?Answer: 9,000 s. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many square centimeters is 2.00 square meters?Answer: 20,000 cm². Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How many square centimeters is 5.00 square inches? (1 in = 2.54 cm)Answer: 32.3 cm². Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
To convert cubic centimeters to cubic meters, how many times is the factor (1 m / 100 cm) used?Answer: Three times. Source: NIST, Metric (SI) prefixes. Read 2026-10-01.
What is 60.0 mi/h in meters per second? (1 mi = 1,609.344 m)Answer: 26.8 m/s. Source: NIST Special Publication 811, Appendix B.9, conversion factors. Read 2026-10-01.
How this list was compiled: Problems, wrong choices and explanations were written for this site. Conversion factors between US customary and SI units: NIST Special Publication 811 (Guide for the Use of the International System of Units), Appendix B.9, https://www.nist.gov/pml/special-publication-811/nist-guide-si-appendix-b-conversion-factors/nist-guide-si-appendix-b9, read 2026-10-01; the page prints exact factors in boldface (inch, foot, yard, mile, hour, minute, day, liter to cubic meter), and the pound, gallon, quart and fluid ounce are the table's seven-figure values. Prefix factors (kilo, centi, milli, micro): NIST, Metric (SI) prefixes, https://www.nist.gov/pml/owm/metric-si-prefixes, read 2026-10-01. Every answer was worked along the chain of factors, rounded to the significant figures of the given measurement, and worked a second time as a check. Licence: own work