Q: What is the total or count of factors of the number 523,950?

 A: 48

How do I find the total factors of the number 523,950?

Step 1

Find the prime factorization of the number 523,950.

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

Factor Tree
523,950
Factor Arrows
2261,975
Factor Arrows
387,325
Factor Arrows
517,465
Factor Arrows
53,493
Factor Arrows
7499

The prime factorization in exponential form is: 21 x 31 x 52 x 71 x 4991

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)(e + 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.

523,950 = 21 x 31 x 52 x 71 x 4991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(523950) = (1 + 1)(1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(523950) = (2)(2)(3)(2)(2)
Down Arrow
d(523950) = 48

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Take a look at the factors page to see the factors of 523,950 and how to find them.

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