Q: What is the total or count of factors of the number 124,540,520?

 A: 64

How do I find the total factors of the number 124,540,520?

Step 1

Find the prime factorization of the number 124,540,520.

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

Factor Tree
124,540,520
Factor Arrows
262,270,260
Factor Arrows
231,135,130
Factor Arrows
215,567,565
Factor Arrows
53,113,513
Factor Arrows
13239,501
Factor Arrows
376,473

The prime factorization in exponential form is: 23 x 51 x 131 x 371 x 6,4731

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.

124,540,520 = 23 x 51 x 131 x 371 x 6,4731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(124540520) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(124540520) = (4)(2)(2)(2)(2)
Down Arrow
d(124540520) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 124,540,520 and how to find them.

Try the factor calculator.

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