Q: What is the total or count of factors of the number 272,542?

 A: 16

How do I find the total factors of the number 272,542?

Step 1

Find the prime factorization of the number 272,542.

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

Factor Tree
272,542
Factor Arrows
2136,271
Factor Arrows
294,699
Factor Arrows
37127

The prime factorization in exponential form is: 21 x 291 x 371 x 1271

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.

272,542 = 21 x 291 x 371 x 1271
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(272542) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(272542) = (2)(2)(2)(2)
Down Arrow
d(272542) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 272,542 and how to find them.

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