Q: What is the total or count of factors of the number 2,633,300?

 A: 36

How do I find the total factors of the number 2,633,300?

Step 1

Find the prime factorization of the number 2,633,300.

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

Factor Tree
2,633,300
Factor Arrows
21,316,650
Factor Arrows
2658,325
Factor Arrows
5131,665
Factor Arrows
526,333
Factor Arrows
171,549

The prime factorization in exponential form is: 22 x 52 x 171 x 1,5491

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.

2,633,300 = 22 x 52 x 171 x 1,5491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(2633300) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2633300) = (3)(3)(2)(2)
Down Arrow
d(2633300) = 36

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Take a look at the factors page to see the factors of 2,633,300 and how to find them.

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