Q: What is the total or count of factors of the number 1,492,152?

 A: 32

How do I find the total factors of the number 1,492,152?

Step 1

Find the prime factorization of the number 1,492,152.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
1,492,152
Factor Arrows
2746,076
Factor Arrows
2373,038
Factor Arrows
2186,519
Factor Arrows
362,173
Factor Arrows
79787

The prime factorization in exponential form is: 23 x 31 x 791 x 7871

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

1,492,152 = 23 x 31 x 791 x 7871
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1492152) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1492152) = (4)(2)(2)(2)
Down Arrow
d(1492152) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 1,492,152 and how to find them.

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