Q: What is the total or count of factors of the number 14,608,864?

 A: 36

How do I find the total factors of the number 14,608,864?

Step 1

Find the prime factorization of the number 14,608,864.

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

Factor Tree
14,608,864
Factor Arrows
27,304,432
Factor Arrows
23,652,216
Factor Arrows
21,826,108
Factor Arrows
2913,054
Factor Arrows
2456,527
Factor Arrows
2319,849
Factor Arrows
23863

The prime factorization in exponential form is: 25 x 232 x 8631

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

14,608,864 = 25 x 232 x 8631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(14608864) = (5 + 1)(2 + 1)(1 + 1)
Down Arrow
d(14608864) = (6)(3)(2)
Down Arrow
d(14608864) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 14,608,864 and how to find them.

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