Q: What is the total or count of factors of the number 162,600?

 A: 48

How do I find the total factors of the number 162,600?

Step 1

Find the prime factorization of the number 162,600.

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

Factor Tree
162,600
Factor Arrows
281,300
Factor Arrows
240,650
Factor Arrows
220,325
Factor Arrows
36,775
Factor Arrows
51,355
Factor Arrows
5271

The prime factorization in exponential form is: 23 x 31 x 52 x 2711

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.

162,600 = 23 x 31 x 52 x 2711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(162600) = (3 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(162600) = (4)(2)(3)(2)
Down Arrow
d(162600) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 162,600 and how to find them.

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