Q: What is the total or count of factors of the number 492,740?

 A: 24

How do I find the total factors of the number 492,740?

Step 1

Find the prime factorization of the number 492,740.

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

Factor Tree
492,740
Factor Arrows
2246,370
Factor Arrows
2123,185
Factor Arrows
524,637
Factor Arrows
71347

The prime factorization in exponential form is: 22 x 51 x 711 x 3471

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.

492,740 = 22 x 51 x 711 x 3471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(492740) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(492740) = (3)(2)(2)(2)
Down Arrow
d(492740) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 492,740 and how to find them.

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