Question

Find the number of divisors of the number 60 A) 10 B) 14 C) 12 D) 16

Answer 1

The number of divisors of 60 is found by factoring it into prime factors and then using the exponents of these factors to calculate the total number of divisors, which is 12.

Step-by-step explanation:

To find the number of divisors of the number 60, you can factor it into its prime factors. The number 60 can be factored into 22 * 31 * 51. Now, to determine the number of divisors, add one to each of the exponents and multiply them together. So, you will have (2+1)(1+1)(1+1) = 3 * 2 * 2 = 12. Therefore, the number 60 has 12 divisors.

Answer 2

C) 12

Step-by-step explanation:

You want the number of divisors of 60.

Divisors

The number of divisors can be found from the prime factorization

60 = 2² × 3 × 5

Add 1 to each of the exponents, and multiply the results:

(2+1)(1+1)(1+1) = 3·2·2 = 12

The number 60 has 12 divisors.

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Additional comment

The divisors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

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