Q: What is the total or count of factors of the number 328,108,750?

 A: 40

How do I find the total factors of the number 328,108,750?

Step 1

Find the prime factorization of the number 328,108,750.

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

Factor Tree
328,108,750
Factor Arrows
2164,054,375
Factor Arrows
532,810,875
Factor Arrows
56,562,175
Factor Arrows
51,312,435
Factor Arrows
5262,487
Factor Arrows
713,697

The prime factorization in exponential form is: 21 x 54 x 711 x 3,6971

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.

328,108,750 = 21 x 54 x 711 x 3,6971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(328108750) = (1 + 1)(4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(328108750) = (2)(5)(2)(2)
Down Arrow
d(328108750) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 328,108,750 and how to find them.

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