Q: What is the total or count of factors of the number 1,316,088?

 A: 48

How do I find the total factors of the number 1,316,088?

Step 1

Find the prime factorization of the number 1,316,088.

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

Factor Tree
1,316,088
Factor Arrows
2658,044
Factor Arrows
2329,022
Factor Arrows
2164,511
Factor Arrows
354,837
Factor Arrows
318,279
Factor Arrows
36,093
Factor Arrows
32,031
Factor Arrows
3677

The prime factorization in exponential form is: 23 x 35 x 6771

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

1,316,088 = 23 x 35 x 6771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(1316088) = (3 + 1)(5 + 1)(1 + 1)
Down Arrow
d(1316088) = (4)(6)(2)
Down Arrow
d(1316088) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 1,316,088 and how to find them.

Try the factor calculator.

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