Q: What is the total or count of factors of the number 766,719?

 A: 16

How do I find the total factors of the number 766,719?

Step 1

Find the prime factorization of the number 766,719.

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

Factor Tree
766,719
Factor Arrows
3255,573
Factor Arrows
385,191
Factor Arrows
328,397
Factor Arrows
73389

The prime factorization in exponential form is: 33 x 731 x 3891

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.

766,719 = 33 x 731 x 3891
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(766719) = (3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(766719) = (4)(2)(2)
Down Arrow
d(766719) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 766,719 and how to find them.

Try the factor calculator.

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