Q: What is the total or count of factors of the number 70,033,122?

 A: 24

How do I find the total factors of the number 70,033,122?

Step 1

Find the prime factorization of the number 70,033,122.

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

Factor Tree
70,033,122
Factor Arrows
235,016,561
Factor Arrows
311,672,187
Factor Arrows
33,890,729
Factor Arrows
7154,799

The prime factorization in exponential form is: 21 x 32 x 711 x 54,7991

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.

70,033,122 = 21 x 32 x 711 x 54,7991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(70033122) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(70033122) = (2)(3)(2)(2)
Down Arrow
d(70033122) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 70,033,122 and how to find them.

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