Q: What is the total or count of factors of the number 501,240?

 A: 32

How do I find the total factors of the number 501,240?

Step 1

Find the prime factorization of the number 501,240.

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

Factor Tree
501,240
Factor Arrows
2250,620
Factor Arrows
2125,310
Factor Arrows
262,655
Factor Arrows
320,885
Factor Arrows
54,177

The prime factorization in exponential form is: 23 x 31 x 51 x 4,1771

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.

501,240 = 23 x 31 x 51 x 4,1771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(501240) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(501240) = (4)(2)(2)(2)
Down Arrow
d(501240) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 501,240 and how to find them.

Try the factor calculator.

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