Q: What is the total or count of factors of the number 24,515,436?

 A: 24

How do I find the total factors of the number 24,515,436?

Step 1

Find the prime factorization of the number 24,515,436.

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

Factor Tree
24,515,436
Factor Arrows
212,257,718
Factor Arrows
26,128,859
Factor Arrows
32,042,953
Factor Arrows
11185,723

The prime factorization in exponential form is: 22 x 31 x 111 x 185,7231

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.

24,515,436 = 22 x 31 x 111 x 185,7231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(24515436) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(24515436) = (3)(2)(2)(2)
Down Arrow
d(24515436) = 24

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Take a look at the factors page to see the factors of 24,515,436 and how to find them.

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