Q: What is the total or count of factors of the number 2,676,750?

 A: 64

How do I find the total factors of the number 2,676,750?

Step 1

Find the prime factorization of the number 2,676,750.

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

Factor Tree
2,676,750
Factor Arrows
21,338,375
Factor Arrows
3446,125
Factor Arrows
589,225
Factor Arrows
517,845
Factor Arrows
53,569
Factor Arrows
4383

The prime factorization in exponential form is: 21 x 31 x 53 x 431 x 831

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.

2,676,750 = 21 x 31 x 53 x 431 x 831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(2676750) = (1 + 1)(1 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2676750) = (2)(2)(4)(2)(2)
Down Arrow
d(2676750) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 2,676,750 and how to find them.

Try the factor calculator.

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