Q: What is the total or count of factors of the number 301,043,763?

 A: 32

How do I find the total factors of the number 301,043,763?

Step 1

Find the prime factorization of the number 301,043,763.

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

Factor Tree
301,043,763
Factor Arrows
3100,347,921
Factor Arrows
333,449,307
Factor Arrows
311,149,769
Factor Arrows
53210,373
Factor Arrows
712,963

The prime factorization in exponential form is: 33 x 531 x 711 x 2,9631

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.

301,043,763 = 33 x 531 x 711 x 2,9631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(301043763) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(301043763) = (4)(2)(2)(2)
Down Arrow
d(301043763) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 301,043,763 and how to find them.

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