Q: What is the total or count of factors of the number 515,430?

 A: 64

How do I find the total factors of the number 515,430?

Step 1

Find the prime factorization of the number 515,430.

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

Factor Tree
515,430
Factor Arrows
2257,715
Factor Arrows
385,905
Factor Arrows
328,635
Factor Arrows
39,545
Factor Arrows
51,909
Factor Arrows
2383

The prime factorization in exponential form is: 21 x 33 x 51 x 231 x 831

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)

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.

515,430 = 21 x 33 x 51 x 231 x 831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(515430) = (1 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(515430) = (2)(4)(2)(2)(2)
Down Arrow
d(515430) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 515,430 and how to find them.

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