Q: What is the total or count of factors of the number 666,704?

 A: 10

How do I find the total factors of the number 666,704?

Step 1

Find the prime factorization of the number 666,704.

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

Factor Tree
666,704
Factor Arrows
2333,352
Factor Arrows
2166,676
Factor Arrows
283,338
Factor Arrows
241,669

The prime factorization in exponential form is: 24 x 41,6691

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 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.

666,704 = 24 x 41,6691
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(666704) = (4 + 1)(1 + 1)
Down Arrow
d(666704) = (5)(2)
Down Arrow
d(666704) = 10

More numbers for you to try

Take a look at the factors page to see the factors of 666,704 and how to find them.

Try the factor calculator.

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