Q: What is the total or count of factors of the number 633,824?

 A: 24

How do I find the total factors of the number 633,824?

Step 1

Find the prime factorization of the number 633,824.

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

Factor Tree
633,824
Factor Arrows
2316,912
Factor Arrows
2158,456
Factor Arrows
279,228
Factor Arrows
239,614
Factor Arrows
219,807
Factor Arrows
29683

The prime factorization in exponential form is: 25 x 291 x 6831

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.

633,824 = 25 x 291 x 6831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(633824) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(633824) = (6)(2)(2)
Down Arrow
d(633824) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 633,824 and how to find them.

Try the factor calculator.

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