Q: What is the total or count of factors of the number 2,269,440?

 A: 108

How do I find the total factors of the number 2,269,440?

Step 1

Find the prime factorization of the number 2,269,440.

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

Factor Tree
2,269,440
Factor Arrows
21,134,720
Factor Arrows
2567,360
Factor Arrows
2283,680
Factor Arrows
2141,840
Factor Arrows
270,920
Factor Arrows
235,460
Factor Arrows
217,730
Factor Arrows
28,865
Factor Arrows
32,955
Factor Arrows
3985
Factor Arrows
5197

The prime factorization in exponential form is: 28 x 32 x 51 x 1971

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.

2,269,440 = 28 x 32 x 51 x 1971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(2269440) = (8 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2269440) = (9)(3)(2)(2)
Down Arrow
d(2269440) = 108

More numbers for you to try

Take a look at the factors page to see the factors of 2,269,440 and how to find them.

Try the factor calculator.

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