Q: What is the total or count of factors of the number 938,352?

 A: 40

How do I find the total factors of the number 938,352?

Step 1

Find the prime factorization of the number 938,352.

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

Factor Tree
938,352
Factor Arrows
2469,176
Factor Arrows
2234,588
Factor Arrows
2117,294
Factor Arrows
258,647
Factor Arrows
319,549
Factor Arrows
113173

The prime factorization in exponential form is: 24 x 31 x 1131 x 1731

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.

938,352 = 24 x 31 x 1131 x 1731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(938352) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(938352) = (5)(2)(2)(2)
Down Arrow
d(938352) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 938,352 and how to find them.

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