Q: What is the total or count of factors of the number 544,215?

 A: 32

How do I find the total factors of the number 544,215?

Step 1

Find the prime factorization of the number 544,215.

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

Factor Tree
544,215
Factor Arrows
3181,405
Factor Arrows
536,281
Factor Arrows
75,183
Factor Arrows
7173

The prime factorization in exponential form is: 31 x 51 x 71 x 711 x 731

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.

544,215 = 31 x 51 x 71 x 711 x 731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(544215) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(544215) = (2)(2)(2)(2)(2)
Down Arrow
d(544215) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 544,215 and how to find them.

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