Q: What is the total or count of factors of the number 334,510?

 A: 16

How do I find the total factors of the number 334,510?

Step 1

Find the prime factorization of the number 334,510.

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

Factor Tree
334,510
Factor Arrows
2167,255
Factor Arrows
533,451
Factor Arrows
113,041

The prime factorization in exponential form is: 21 x 51 x 111 x 3,0411

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.

334,510 = 21 x 51 x 111 x 3,0411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(334510) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(334510) = (2)(2)(2)(2)
Down Arrow
d(334510) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 334,510 and how to find them.

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