Q: What is the total or count of factors of the number 816,126,264?

 A: 24

How do I find the total factors of the number 816,126,264?

Step 1

Find the prime factorization of the number 816,126,264.

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

Factor Tree
816,126,264
Factor Arrows
2408,063,132
Factor Arrows
2204,031,566
Factor Arrows
2102,015,783
Factor Arrows
334,005,261
Factor Arrows
311,335,087

The prime factorization in exponential form is: 23 x 32 x 11,335,0871

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.

816,126,264 = 23 x 32 x 11,335,0871
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(816126264) = (3 + 1)(2 + 1)(1 + 1)
Down Arrow
d(816126264) = (4)(3)(2)
Down Arrow
d(816126264) = 24

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Take a look at the factors page to see the factors of 816,126,264 and how to find them.

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