Q: What is the total or count of factors of the number 9,437,376?

 A: 112

How do I find the total factors of the number 9,437,376?

Step 1

Find the prime factorization of the number 9,437,376.

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

Factor Tree
9,437,376
Factor Arrows
24,718,688
Factor Arrows
22,359,344
Factor Arrows
21,179,672
Factor Arrows
2589,836
Factor Arrows
2294,918
Factor Arrows
2147,459
Factor Arrows
349,153
Factor Arrows
133,781
Factor Arrows
19199

The prime factorization in exponential form is: 26 x 31 x 131 x 191 x 1991

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.

9,437,376 = 26 x 31 x 131 x 191 x 1991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(9437376) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(9437376) = (7)(2)(2)(2)(2)
Down Arrow
d(9437376) = 112

More numbers for you to try

Take a look at the factors page to see the factors of 9,437,376 and how to find them.

Try the factor calculator.

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