Q: What is the total or count of factors of the number 1,189,496?

 A: 32

How do I find the total factors of the number 1,189,496?

Step 1

Find the prime factorization of the number 1,189,496.

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

Factor Tree
1,189,496
Factor Arrows
2594,748
Factor Arrows
2297,374
Factor Arrows
2148,687
Factor Arrows
721,241
Factor Arrows
111,931

The prime factorization in exponential form is: 23 x 71 x 111 x 1,9311

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.

1,189,496 = 23 x 71 x 111 x 1,9311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1189496) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1189496) = (4)(2)(2)(2)
Down Arrow
d(1189496) = 32

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Take a look at the factors page to see the factors of 1,189,496 and how to find them.

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