Factor Pairs
About This Worksheet
This worksheet helps sixth-grade students build a strong understanding of factors by finding every factor pair for a set of whole numbers. Students work with values such as 18, 24, 32, 36, 42, 48, 54, and 72, then organize the factor pairs in a clear way. A factor is a whole number that divides another whole number evenly with no remainder, so this activity helps students see how multiplication and division are connected. Instead of simply listing factors from memory, students are encouraged to search systematically for number pairs whose product matches the target number. This is an important foundation for later work with prime factorization, greatest common factors, least common multiples, and fraction simplification.
What Students Practice
Students find all factor pairs for each given number and make sure no combinations are skipped. They may begin with 1 and the number itself, then test 2, 3, 4, and other possible factors until the factor pairs begin repeating. This process encourages students to notice divisibility patterns and multiplication relationships at the same time. The larger values give them enough challenge to practice careful organization rather than relying only on basic multiplication facts. By the end of the page, students should be able to explain why each listed factor divides the original number evenly.
Why This Matters
Understanding factor pairs is one of the building blocks of number theory. Students need this skill when they later find common factors, determine whether numbers are prime or composite, simplify fractions, and break numbers into prime factors. A student who can quickly recognize that a number has several factor pairs is also developing stronger multiplication and division fluency. This worksheet encourages students to search for patterns instead of guessing randomly. That organized thinking becomes especially useful when the numbers get larger and the factor relationships are less obvious.
Teaching Tips
Encourage students to begin with 1 and work upward rather than listing factors in a random order. A simple T-chart can help them keep each factor pair together and see when the pairs begin to repeat. If a student misses a factor, ask whether the target number can be divided evenly by 2, 3, 4, 5, or another familiar divisor. You can also have students multiply each pair back together to confirm that it produces the original number. This quick check helps reinforce the connection between multiplication facts and factor relationships.
Curriculum Standards
This worksheet supports the number theory foundation students need for CCSS.MATH.CONTENT.6.NS.B.4, which asks sixth-grade students to find the greatest common factor of two whole numbers and the least common multiple of two whole numbers. Accurately identifying all factors of a number is an important prerequisite for that Grade 6 standard. The activity also reinforces multiplication and division relationships from earlier grades while preparing students for prime factorization and common-factor work. It can be used for direct instruction, independent practice, homework, intervention, or review before introducing GCF and LCM.