Q: What is the total or count of factors of the number 40,010,517?

 A: 20

How do I find the total factors of the number 40,010,517?

Step 1

Find the prime factorization of the number 40,010,517.

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

Factor Tree
40,010,517
Factor Arrows
313,336,839
Factor Arrows
34,445,613
Factor Arrows
31,481,871
Factor Arrows
3493,957
Factor Arrows
2917,033

The prime factorization in exponential form is: 34 x 291 x 17,0331

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

40,010,517 = 34 x 291 x 17,0331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(40010517) = (4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(40010517) = (5)(2)(2)
Down Arrow
d(40010517) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 40,010,517 and how to find them.

Try the factor calculator.

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