Q: What is the total or count of factors of the number 572,410,536?

 A: 128

How do I find the total factors of the number 572,410,536?

Step 1

Find the prime factorization of the number 572,410,536.

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

Factor Tree
572,410,536
Factor Arrows
2286,205,268
Factor Arrows
2143,102,634
Factor Arrows
271,551,317
Factor Arrows
323,850,439
Factor Arrows
171,402,967
Factor Arrows
3145,257
Factor Arrows
167271

The prime factorization in exponential form is: 23 x 31 x 171 x 311 x 1671 x 2711

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)(f + 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.

572,410,536 = 23 x 31 x 171 x 311 x 1671 x 2711
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(572410536) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(572410536) = (4)(2)(2)(2)(2)(2)
Down Arrow
d(572410536) = 128

More numbers for you to try

Take a look at the factors page to see the factors of 572,410,536 and how to find them.

Try the factor calculator.

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