Q: What is the total or count of factors of the number 251,302,716?

 A: 48

How do I find the total factors of the number 251,302,716?

Step 1

Find the prime factorization of the number 251,302,716.

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

Factor Tree
251,302,716
Factor Arrows
2125,651,358
Factor Arrows
262,825,679
Factor Arrows
320,941,893
Factor Arrows
36,980,631
Factor Arrows
32,326,877
Factor Arrows
7332,411

The prime factorization in exponential form is: 22 x 33 x 71 x 332,4111

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.

251,302,716 = 22 x 33 x 71 x 332,4111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(251302716) = (2 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(251302716) = (3)(4)(2)(2)
Down Arrow
d(251302716) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 251,302,716 and how to find them.

Try the factor calculator.

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