Q: What is the total or count of factors of the number 4,663,980?

 A: 60

How do I find the total factors of the number 4,663,980?

Step 1

Find the prime factorization of the number 4,663,980.

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

Factor Tree
4,663,980
Factor Arrows
22,331,990
Factor Arrows
21,165,995
Factor Arrows
3388,665
Factor Arrows
3129,555
Factor Arrows
343,185
Factor Arrows
314,395
Factor Arrows
52,879

The prime factorization in exponential form is: 22 x 34 x 51 x 2,8791

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.

4,663,980 = 22 x 34 x 51 x 2,8791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(4663980) = (2 + 1)(4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(4663980) = (3)(5)(2)(2)
Down Arrow
d(4663980) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 4,663,980 and how to find them.

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