Q: What is the total or count of factors of the number 4,731,720?

 A: 128

How do I find the total factors of the number 4,731,720?

Step 1

Find the prime factorization of the number 4,731,720.

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

Factor Tree
4,731,720
Factor Arrows
22,365,860
Factor Arrows
21,182,930
Factor Arrows
2591,465
Factor Arrows
3197,155
Factor Arrows
539,431
Factor Arrows
75,633
Factor Arrows
43131

The prime factorization in exponential form is: 23 x 31 x 51 x 71 x 431 x 1311

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)(e + 1)(f + 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.

4,731,720 = 23 x 31 x 51 x 71 x 431 x 1311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(4731720) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(4731720) = (4)(2)(2)(2)(2)(2)
Down Arrow
d(4731720) = 128

More numbers for you to try

Take a look at the factors page to see the factors of 4,731,720 and how to find them.

Try the factor calculator.

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