2
QuizMultiple Choice

Prime Numbers and Prime Factorization

Question 2 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Which list shows all the factors of 36?

Answer
A
1, 2, 3, 4, 6, 9, 12, 18, 36
B
1, 2, 3, 4, 8, 9, 12, 18, 36
C
2, 3, 4, 6, 9, 12, 18
D
2, 4, 6, 8, 9, 12, 18

Explanation

A factor of 36 divides 36 with no remainder. The factor pairs are 1 × 36, 2 × 18, 3 × 12, 4 × 9, and 6 × 6, so the complete list is 1, 2, 3, 4, 6, 9, 12, 18, 36. Choice A includes every factor; the other lists either omit a factor or include a number that is not a factor, such as 8.

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