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Which of the following are factors of both 24 and 36 ? Select all that apply

Ask by Bolton Wells. in the United States
Feb 19,2025

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Tutor-Verified Answer

Answer

The factors of both 24 and 36 are 1, 2, 3, 4, 6, and 12.

Solution

First, list the factors of 24: • 1, 2, 3, 4, 6, 8, 12, 24 Then, list the factors of 36: • 1, 2, 3, 4, 6, 9, 12, 18, 36 The numbers that appear in both lists are: • 1, 2, 3, 4, 6, 12 Thus, the factors of both 24 and 36 are 1, 2, 3, 4, 6, and 12.

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Bonus Knowledge

To find the common factors of 24 and 36, we first list out the factors for each number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. For 36, the factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors between the two sets are 1, 2, 3, 4, 6, and 12. So, if you're looking for common ground, those are the lucky numbers that unite both! If you find yourself struggling with identifying factors, try breaking down the numbers into their prime factors first. For 24, it's 2 x 2 x 2 x 3 and for 36, it's 2 x 2 x 3 x 3. From these prime breakdowns, you can gather all the leading characters that contribute to both numbers, leading you straight to common factors without too much fuss!

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