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How did you determine the distinct factors of 72?

Updated: 8/21/2019
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8y ago

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"Distinct" in this case just means "don't repeat any." We usually refer to distinct prime factors. To find the prime factors of 72, use a factor tree.

72

36,2

18,2,2

9,2,2,2

3,3,2,2,2

The prime factorization of 72 is 2 x 2 x 2 x 3 x 3

The distinct prime factors are 2 and 3.

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Q: How did you determine the distinct factors of 72?
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How many distinct factors does 72 have?

12 distinct factors: 1 2 3 4 6 8 9 12 18 24 36 72.


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Distinct in this case just means different. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3. The distinct prime factors of 72 are 2 and 3.


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...as opposed to repeated factors. 2 x 2 x 2 x 3 x 3 is the prime factorization of 72. 2 and 3 are the distinct prime factors of 72.


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Distinct in this usage means don't repeat anything. 2 x 2 x 2 x 3 x 3 is the prime factorization of 72. The distinct prime factors of 72 are 2 and 3.


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The distinct factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.


What is the two factors of 72 to determine that the number is composite?

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Some prime factorizations have repeated factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3. The distinct prime factors of 72 are 2 and 3.


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