Q: What is the total or count of factors of the number 782,264?

 A: 32

How do I find the total factors of the number 782,264?

Step 1

Find the prime factorization of the number 782,264.

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

Factor Tree
782,264
Factor Arrows
2391,132
Factor Arrows
2195,566
Factor Arrows
297,783
Factor Arrows
713,969
Factor Arrows
61229

The prime factorization in exponential form is: 23 x 71 x 611 x 2291

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.

782,264 = 23 x 71 x 611 x 2291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(782264) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(782264) = (4)(2)(2)(2)
Down Arrow
d(782264) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 782,264 and how to find them.

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