Q: What is the total or count of factors of the number 713,248?

 A: 24

How do I find the total factors of the number 713,248?

Step 1

Find the prime factorization of the number 713,248.

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

Factor Tree
713,248
Factor Arrows
2356,624
Factor Arrows
2178,312
Factor Arrows
289,156
Factor Arrows
244,578
Factor Arrows
222,289
Factor Arrows
31719

The prime factorization in exponential form is: 25 x 311 x 7191

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.

713,248 = 25 x 311 x 7191
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(713248) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(713248) = (6)(2)(2)
Down Arrow
d(713248) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 713,248 and how to find them.

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