Q: What is the total or count of factors of the number 75,656,336?

 A: 40

How do I find the total factors of the number 75,656,336?

Step 1

Find the prime factorization of the number 75,656,336.

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

Factor Tree
75,656,336
Factor Arrows
237,828,168
Factor Arrows
218,914,084
Factor Arrows
29,457,042
Factor Arrows
24,728,521
Factor Arrows
7675,503
Factor Arrows
3731,811

The prime factorization in exponential form is: 24 x 71 x 3731 x 1,8111

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.

75,656,336 = 24 x 71 x 3731 x 1,8111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(75656336) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(75656336) = (5)(2)(2)(2)
Down Arrow
d(75656336) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 75,656,336 and how to find them.

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