Q: What is the total or count of factors of the number 294,528?

 A: 64

How do I find the total factors of the number 294,528?

Step 1

Find the prime factorization of the number 294,528.

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

Factor Tree
294,528
Factor Arrows
2147,264
Factor Arrows
273,632
Factor Arrows
236,816
Factor Arrows
218,408
Factor Arrows
29,204
Factor Arrows
24,602
Factor Arrows
22,301
Factor Arrows
3767
Factor Arrows
1359

The prime factorization in exponential form is: 27 x 31 x 131 x 591

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.

294,528 = 27 x 31 x 131 x 591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(294528) = (7 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(294528) = (8)(2)(2)(2)
Down Arrow
d(294528) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 294,528 and how to find them.

Try the factor calculator.

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