Q: What is the total or count of factors of the number 16,646,175?

 A: 96

How do I find the total factors of the number 16,646,175?

Step 1

Find the prime factorization of the number 16,646,175.

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

Factor Tree
16,646,175
Factor Arrows
35,548,725
Factor Arrows
31,849,575
Factor Arrows
3616,525
Factor Arrows
5123,305
Factor Arrows
524,661
Factor Arrows
73,523
Factor Arrows
13271

The prime factorization in exponential form is: 33 x 52 x 71 x 131 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)

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.

16,646,175 = 33 x 52 x 71 x 131 x 2711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(16646175) = (3 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(16646175) = (4)(3)(2)(2)(2)
Down Arrow
d(16646175) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 16,646,175 and how to find them.

Try the factor calculator.

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