Q: What is the total or count of factors of the number 13,651,524?

 A: 48

How do I find the total factors of the number 13,651,524?

Step 1

Find the prime factorization of the number 13,651,524.

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

Factor Tree
13,651,524
Factor Arrows
26,825,762
Factor Arrows
23,412,881
Factor Arrows
31,137,627
Factor Arrows
3379,209
Factor Arrows
3126,403
Factor Arrows
413,083

The prime factorization in exponential form is: 22 x 33 x 411 x 3,0831

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.

13,651,524 = 22 x 33 x 411 x 3,0831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(13651524) = (2 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(13651524) = (3)(4)(2)(2)
Down Arrow
d(13651524) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 13,651,524 and how to find them.

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