Q: What is the total or count of factors of the number 629,296?

 A: 20

How do I find the total factors of the number 629,296?

Step 1

Find the prime factorization of the number 629,296.

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

Factor Tree
629,296
Factor Arrows
2314,648
Factor Arrows
2157,324
Factor Arrows
278,662
Factor Arrows
239,331
Factor Arrows
371,063

The prime factorization in exponential form is: 24 x 371 x 1,0631

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

629,296 = 24 x 371 x 1,0631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(629296) = (4 + 1)(1 + 1)(1 + 1)
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d(629296) = (5)(2)(2)
Down Arrow
d(629296) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 629,296 and how to find them.

Try the factor calculator.

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