Q: What is the total or count of factors of the number 7,458,176?

 A: 32

How do I find the total factors of the number 7,458,176?

Step 1

Find the prime factorization of the number 7,458,176.

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

Factor Tree
7,458,176
Factor Arrows
23,729,088
Factor Arrows
21,864,544
Factor Arrows
2932,272
Factor Arrows
2466,136
Factor Arrows
2233,068
Factor Arrows
2116,534
Factor Arrows
258,267
Factor Arrows
115,297

The prime factorization in exponential form is: 27 x 111 x 5,2971

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.

7,458,176 = 27 x 111 x 5,2971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(7458176) = (7 + 1)(1 + 1)(1 + 1)
Down Arrow
d(7458176) = (8)(2)(2)
Down Arrow
d(7458176) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 7,458,176 and how to find them.

Try the factor calculator.

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