Q: What is the total or count of factors of the number 74,647,332?

 A: 30

How do I find the total factors of the number 74,647,332?

Step 1

Find the prime factorization of the number 74,647,332.

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

Factor Tree
74,647,332
Factor Arrows
237,323,666
Factor Arrows
218,661,833
Factor Arrows
36,220,611
Factor Arrows
32,073,537
Factor Arrows
3691,179
Factor Arrows
3230,393

The prime factorization in exponential form is: 22 x 34 x 230,3931

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

74,647,332 = 22 x 34 x 230,3931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(74647332) = (2 + 1)(4 + 1)(1 + 1)
Down Arrow
d(74647332) = (3)(5)(2)
Down Arrow
d(74647332) = 30

More numbers for you to try

Take a look at the factors page to see the factors of 74,647,332 and how to find them.

Try the factor calculator.

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