Q: What is the total or count of factors of the number 486,784?

 A: 16

How do I find the total factors of the number 486,784?

Step 1

Find the prime factorization of the number 486,784.

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

Factor Tree
486,784
Factor Arrows
2243,392
Factor Arrows
2121,696
Factor Arrows
260,848
Factor Arrows
230,424
Factor Arrows
215,212
Factor Arrows
27,606
Factor Arrows
23,803

The prime factorization in exponential form is: 27 x 3,8031

Step 2

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

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

486,784 = 27 x 3,8031
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(486784) = (7 + 1)(1 + 1)
Down Arrow
d(486784) = (8)(2)
Down Arrow
d(486784) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 486,784 and how to find them.

Try the factor calculator.

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