How to Determine the Number of Divisors of an Integer

Beginner 1 hour 10 steps 11755 views Rating: 3.9/5 Published: 2026-04-19

Write the integer at the top of the page.. Find two numbers you can multiply together to get the number, not including 1.. Look for prime factors.

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Steps

1

Write the integer at the top of the page.

Step 1

Write the integer at the top of the page.

2

Find two numbers you can multiply together to get the number, not including 1.

Step 2

Find two numbers you can multiply together to get the number, not including 1.

3

Look for prime factors.

Step 3

Look for prime factors.

4

Continue to factor non-prime numbers.

Step 4

Continue to factor non-prime numbers.

5

Write an exponential expression for each prime factor.

Step 5

Write an exponential expression for each prime factor.

6

Write the equation for the prime factorization of the number.

Step 6

Write the equation for the prime factorization of the number.

7

Set up the equation for determining the number of divisors, or factors, in a num

Step 7

Set up the equation for determining the number of divisors, or factors, in a number.

8

Plug in the value of each exponent into the formula.

Step 8

Plug in the value of each exponent into the formula.

9

Add the values in parentheses.

Step 9

Add the values in parentheses.

10

Multiply the values in parentheses.

Step 10

Multiply the values in parentheses.

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