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How do you determine factors of 72?

Updated: 8/17/2019
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14y ago

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A factor is any number that will divide 72 evenly. The brute-force way to find the factors of 72 is to try every number starting with 1. While this sounds awful, it's not really so bad because you only have to go up to 9:

72 / 1 = 72 (72 and 1 are factors)
72 / 2 = 36 (26 and 2 are factors)
72 / 3 = 24 (24 and 3 are factors)
72 / 4 = 18 (18 and 4 are factors)
72 / 5 = 14 remainder 2 (5 is not a factor)
72 / 6 = 12 (12 and 6 are factors)
72 / 7 = 10 remainder 2 (7 is not a factor)
72 / 8 = 9 (9 and 8 are factors)
72 / 9 = 9 (8 and 9 are factors) <--- we can stop now since we have factors that repeat.

so...the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 26, and 72.

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Related questions

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

8 and 9


What are the two different tree diagrams that show how to determine the prime factors of 72?

72 36,2 18,2,2 9,2,2,2 3,3,2,2,2 72 8,9 8,3,3 4,2,3,3 2,2,2,3,3


How did you determine the distinct factors of 72?

"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.


How are the factors 36 and 72 related?

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. All of the factors of 36 are also factors of 72.


How are the factors of 36 and 72 alike?

Since 36 is a factor of 72, the factors of 36 are included in the factors of 72.


Are all the factors of 72 are multiples of the prime factors of 72?

Apart from 1, all of the other factors of 72 are multiples of prime factors.


How are factors of 36 related to the factors of 72?

Since 36 is a factor of 72, all of its factors are included in the factors of 72.


list all factors of 72?

find all factors of 72


Is 72 the lowest number with 14 factors?

No. 72 has 12 factors.


What are the prime factors for 72?

The prime factors for 72 are: 2, 3


What has 9 factors and is less than 100?

1,2,3,4,6,9,12,18,36, and 72 are the nine factors of 72 and 72 &lt; 100.


What are the factors of 72 that are prime numbers?

The prime factors of 72 are: 2 and 3.