Q: What is the total or count of factors of the number 5,916,636?

 A: 72

How do I find the total factors of the number 5,916,636?

Step 1

Find the prime factorization of the number 5,916,636.

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

Factor Tree
5,916,636
Factor Arrows
22,958,318
Factor Arrows
21,479,159
Factor Arrows
3493,053
Factor Arrows
3164,351
Factor Arrows
1114,941
Factor Arrows
67223

The prime factorization in exponential form is: 22 x 32 x 111 x 671 x 2231

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.

5,916,636 = 22 x 32 x 111 x 671 x 2231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(5916636) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(5916636) = (3)(3)(2)(2)(2)
Down Arrow
d(5916636) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 5,916,636 and how to find them.

Try the factor calculator.

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