Q: What is the total or count of factors of the number 161,142,892?

 A: 6

How do I find the total factors of the number 161,142,892?

Step 1

Find the prime factorization of the number 161,142,892.

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

Factor Tree
161,142,892
Factor Arrows
280,571,446
Factor Arrows
240,285,723

The prime factorization in exponential form is: 22 x 40,285,7231

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 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.

161,142,892 = 22 x 40,285,7231
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(161142892) = (2 + 1)(1 + 1)
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d(161142892) = (3)(2)
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d(161142892) = 6

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Take a look at the factors page to see the factors of 161,142,892 and how to find them.

Try the factor calculator.

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