Q: What is the total or count of factors of the number 56,245,472?

 A: 48

How do I find the total factors of the number 56,245,472?

Step 1

Find the prime factorization of the number 56,245,472.

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

Factor Tree
56,245,472
Factor Arrows
228,122,736
Factor Arrows
214,061,368
Factor Arrows
27,030,684
Factor Arrows
23,515,342
Factor Arrows
21,757,671
Factor Arrows
1992,509
Factor Arrows
791,171

The prime factorization in exponential form is: 25 x 191 x 791 x 1,1711

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.

56,245,472 = 25 x 191 x 791 x 1,1711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(56245472) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(56245472) = (6)(2)(2)(2)
Down Arrow
d(56245472) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 56,245,472 and how to find them.

Try the factor calculator.

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