Q: What is the total or count of factors of the number 2,450,520?

 A: 64

How do I find the total factors of the number 2,450,520?

Step 1

Find the prime factorization of the number 2,450,520.

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

Factor Tree
2,450,520
Factor Arrows
21,225,260
Factor Arrows
2612,630
Factor Arrows
2306,315
Factor Arrows
3102,105
Factor Arrows
334,035
Factor Arrows
311,345
Factor Arrows
52,269

The prime factorization in exponential form is: 23 x 33 x 51 x 2,2691

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.

2,450,520 = 23 x 33 x 51 x 2,2691
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(2450520) = (3 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2450520) = (4)(4)(2)(2)
Down Arrow
d(2450520) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 2,450,520 and how to find them.

Try the factor calculator.

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