Q: What is the total or count of factors of the number 79,272,864?

 A: 192

How do I find the total factors of the number 79,272,864?

Step 1

Find the prime factorization of the number 79,272,864.

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

Factor Tree
79,272,864
Factor Arrows
239,636,432
Factor Arrows
219,818,216
Factor Arrows
29,909,108
Factor Arrows
24,954,554
Factor Arrows
22,477,277
Factor Arrows
3825,759
Factor Arrows
3275,253
Factor Arrows
391,751
Factor Arrows
118,341
Factor Arrows
19439

The prime factorization in exponential form is: 25 x 33 x 111 x 191 x 4391

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.

79,272,864 = 25 x 33 x 111 x 191 x 4391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(79272864) = (5 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(79272864) = (6)(4)(2)(2)(2)
Down Arrow
d(79272864) = 192

More numbers for you to try

Take a look at the factors page to see the factors of 79,272,864 and how to find them.

Try the factor calculator.

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