Q: What is the total or count of factors of the number 83,017,344?

 A: 64

How do I find the total factors of the number 83,017,344?

Step 1

Find the prime factorization of the number 83,017,344.

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

Factor Tree
83,017,344
Factor Arrows
241,508,672
Factor Arrows
220,754,336
Factor Arrows
210,377,168
Factor Arrows
25,188,584
Factor Arrows
22,594,292
Factor Arrows
21,297,146
Factor Arrows
2648,573
Factor Arrows
3216,191
Factor Arrows
375,843

The prime factorization in exponential form is: 27 x 31 x 371 x 5,8431

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.

83,017,344 = 27 x 31 x 371 x 5,8431
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(83017344) = (7 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(83017344) = (8)(2)(2)(2)
Down Arrow
d(83017344) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 83,017,344 and how to find them.

Try the factor calculator.

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