Q: What is the total or count of factors of the number 789,525?

 A: 54

How do I find the total factors of the number 789,525?

Step 1

Find the prime factorization of the number 789,525.

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

Factor Tree
789,525
Factor Arrows
3263,175
Factor Arrows
387,725
Factor Arrows
517,545
Factor Arrows
53,509
Factor Arrows
11319
Factor Arrows
1129

The prime factorization in exponential form is: 32 x 52 x 112 x 291

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.

789,525 = 32 x 52 x 112 x 291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(789525) = (2 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(789525) = (3)(3)(3)(2)
Down Arrow
d(789525) = 54

More numbers for you to try

Take a look at the factors page to see the factors of 789,525 and how to find them.

Try the factor calculator.

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