Q: What is the total or count of factors of the number 662,532?

 A: 48

How do I find the total factors of the number 662,532?

Step 1

Find the prime factorization of the number 662,532.

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

Factor Tree
662,532
Factor Arrows
2331,266
Factor Arrows
2165,633
Factor Arrows
355,211
Factor Arrows
134,247
Factor Arrows
31137

The prime factorization in exponential form is: 22 x 31 x 131 x 311 x 1371

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)

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.

662,532 = 22 x 31 x 131 x 311 x 1371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(662532) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(662532) = (3)(2)(2)(2)(2)
Down Arrow
d(662532) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 662,532 and how to find them.

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