Q: What is the total or count of factors of the number 112,130,040?

 A: 64

How do I find the total factors of the number 112,130,040?

Step 1

Find the prime factorization of the number 112,130,040.

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

Factor Tree
112,130,040
Factor Arrows
256,065,020
Factor Arrows
228,032,510
Factor Arrows
214,016,255
Factor Arrows
34,672,085
Factor Arrows
5934,417
Factor Arrows
1184,947

The prime factorization in exponential form is: 23 x 31 x 51 x 111 x 84,9471

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.

112,130,040 = 23 x 31 x 51 x 111 x 84,9471
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(112130040) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(112130040) = (4)(2)(2)(2)(2)
Down Arrow
d(112130040) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 112,130,040 and how to find them.

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