Q: What is the total or count of factors of the number 708,968?

 A: 32

How do I find the total factors of the number 708,968?

Step 1

Find the prime factorization of the number 708,968.

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

Factor Tree
708,968
Factor Arrows
2354,484
Factor Arrows
2177,242
Factor Arrows
288,621
Factor Arrows
136,817
Factor Arrows
17401

The prime factorization in exponential form is: 23 x 131 x 171 x 4011

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.

708,968 = 23 x 131 x 171 x 4011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(708968) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(708968) = (4)(2)(2)(2)
Down Arrow
d(708968) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 708,968 and how to find them.

Try the factor calculator.

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