Q: What is the total or count of factors of the number 161,152?

 A: 16

How do I find the total factors of the number 161,152?

Step 1

Find the prime factorization of the number 161,152.

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

Factor Tree
161,152
Factor Arrows
280,576
Factor Arrows
240,288
Factor Arrows
220,144
Factor Arrows
210,072
Factor Arrows
25,036
Factor Arrows
22,518
Factor Arrows
21,259

The prime factorization in exponential form is: 27 x 1,2591

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.

161,152 = 27 x 1,2591
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(161152) = (7 + 1)(1 + 1)
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d(161152) = (8)(2)
Down Arrow
d(161152) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 161,152 and how to find them.

Try the factor calculator.

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