Q: What is the total or count of factors of the number 763,232?

 A: 48

How do I find the total factors of the number 763,232?

Step 1

Find the prime factorization of the number 763,232.

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

Factor Tree
763,232
Factor Arrows
2381,616
Factor Arrows
2190,808
Factor Arrows
295,404
Factor Arrows
247,702
Factor Arrows
223,851
Factor Arrows
171,403
Factor Arrows
2361

The prime factorization in exponential form is: 25 x 171 x 231 x 611

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.

763,232 = 25 x 171 x 231 x 611
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(763232) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(763232) = (6)(2)(2)(2)
Down Arrow
d(763232) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 763,232 and how to find them.

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