Factor Pairs 1-75 Reference Sheet

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By the time students get to middle school, they should know all their math facts, including factors. But it doesn't always happen that way. When students don't know these basic facts, they can end up further and further behind. Many students who are capable of understanding the processes behind tougher concepts like factoring quadratics, but they get stuck because their math facts recall is holding them back. This easy-to-use reference sheet aims to help solve that problem. It lists all positive integer factor pairs for numbers 1 through 75. For example, looking up 60 reveals a list of: 1 × 60, 2 × 30, 3 × 20, 4 × 15, 5 × 12, 6 × 10.

Bonus: Prime numbers are highlighted in gray!

This sheet has been extremely helpful for my middle school students who do not have factors memorized but need to recall them quickly to participate in the general education math class. Factoring quadratic expressions (e.g., x^2 + 16x + 60) has gone from being impossible to totally doable.

Tip: If using this reference sheet to help students factor quadratic expressions, make sure the students understand the commutative property of multiplication and rules for multiplying negative integers. That is, make sure they understand that if 4 × 6 = 24, so does 6 × 4 and so does (-6) × (-4).
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