Q: What is the total or count of factors of the number 167,047,020?

 A: 144

How do I find the total factors of the number 167,047,020?

Step 1

Find the prime factorization of the number 167,047,020.

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

Factor Tree
167,047,020
Factor Arrows
283,523,510
Factor Arrows
241,761,755
Factor Arrows
313,920,585
Factor Arrows
34,640,195
Factor Arrows
5928,039
Factor Arrows
7132,577
Factor Arrows
233569

The prime factorization in exponential form is: 22 x 32 x 51 x 71 x 2331 x 5691

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)(f + 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.

167,047,020 = 22 x 32 x 51 x 71 x 2331 x 5691
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(167047020) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(167047020) = (3)(3)(2)(2)(2)(2)
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d(167047020) = 144

More numbers for you to try

Take a look at the factors page to see the factors of 167,047,020 and how to find them.

Try the factor calculator.

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