Q: What is the total or count of factors of the number 555,250,152?

 A: 32

How do I find the total factors of the number 555,250,152?

Step 1

Find the prime factorization of the number 555,250,152.

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

Factor Tree
555,250,152
Factor Arrows
2277,625,076
Factor Arrows
2138,812,538
Factor Arrows
269,406,269
Factor Arrows
323,135,423
Factor Arrows
25192,173

The prime factorization in exponential form is: 23 x 31 x 2511 x 92,1731

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.

555,250,152 = 23 x 31 x 2511 x 92,1731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(555250152) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(555250152) = (4)(2)(2)(2)
Down Arrow
d(555250152) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 555,250,152 and how to find them.

Try the factor calculator.

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