Q: What is the total or count of factors of the number 142,000,070?

 A: 32

How do I find the total factors of the number 142,000,070?

Step 1

Find the prime factorization of the number 142,000,070.

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

Factor Tree
142,000,070
Factor Arrows
271,000,035
Factor Arrows
514,200,007
Factor Arrows
61232,787
Factor Arrows
1311,777

The prime factorization in exponential form is: 21 x 51 x 611 x 1311 x 1,7771

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.

142,000,070 = 21 x 51 x 611 x 1311 x 1,7771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(142000070) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(142000070) = (2)(2)(2)(2)(2)
Down Arrow
d(142000070) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 142,000,070 and how to find them.

Try the factor calculator.

Explore more about the number 142,000,070:


Ask a Question