Q: What is the total or count of factors of the number 620,232?

 A: 32

How do I find the total factors of the number 620,232?

Step 1

Find the prime factorization of the number 620,232.

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

Factor Tree
620,232
Factor Arrows
2310,116
Factor Arrows
2155,058
Factor Arrows
277,529
Factor Arrows
325,843
Factor Arrows
43601

The prime factorization in exponential form is: 23 x 31 x 431 x 6011

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.

620,232 = 23 x 31 x 431 x 6011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(620232) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(620232) = (4)(2)(2)(2)
Down Arrow
d(620232) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 620,232 and how to find them.

Try the factor calculator.

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