Q: What is the total or count of factors of the number 748,240?

 A: 40

How do I find the total factors of the number 748,240?

Step 1

Find the prime factorization of the number 748,240.

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

Factor Tree
748,240
Factor Arrows
2374,120
Factor Arrows
2187,060
Factor Arrows
293,530
Factor Arrows
246,765
Factor Arrows
59,353
Factor Arrows
47199

The prime factorization in exponential form is: 24 x 51 x 471 x 1991

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.

748,240 = 24 x 51 x 471 x 1991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(748240) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(748240) = (5)(2)(2)(2)
Down Arrow
d(748240) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 748,240 and how to find them.

Try the factor calculator.

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