Q: What is the total or count of factors of the number 106,743,812?

 A: 24

How do I find the total factors of the number 106,743,812?

Step 1

Find the prime factorization of the number 106,743,812.

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

Factor Tree
106,743,812
Factor Arrows
253,371,906
Factor Arrows
226,685,953
Factor Arrows
73,812,279
Factor Arrows
7352,223

The prime factorization in exponential form is: 22 x 71 x 731 x 52,2231

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.

106,743,812 = 22 x 71 x 731 x 52,2231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(106743812) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(106743812) = (3)(2)(2)(2)
Down Arrow
d(106743812) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 106,743,812 and how to find them.

Try the factor calculator.

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