Q: What is the total or count of factors of the number 2,117,676?

 A: 48

How do I find the total factors of the number 2,117,676?

Step 1

Find the prime factorization of the number 2,117,676.

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

Factor Tree
2,117,676
Factor Arrows
21,058,838
Factor Arrows
2529,419
Factor Arrows
3176,473
Factor Arrows
1116,043
Factor Arrows
61263

The prime factorization in exponential form is: 22 x 31 x 111 x 611 x 2631

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.

2,117,676 = 22 x 31 x 111 x 611 x 2631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(2117676) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2117676) = (3)(2)(2)(2)(2)
Down Arrow
d(2117676) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 2,117,676 and how to find them.

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