Q: What is the total or count of factors of the number 2,319,760?

 A: 40

How do I find the total factors of the number 2,319,760?

Step 1

Find the prime factorization of the number 2,319,760.

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

Factor Tree
2,319,760
Factor Arrows
21,159,880
Factor Arrows
2579,940
Factor Arrows
2289,970
Factor Arrows
2144,985
Factor Arrows
528,997
Factor Arrows
107271

The prime factorization in exponential form is: 24 x 51 x 1071 x 2711

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.

2,319,760 = 24 x 51 x 1071 x 2711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(2319760) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2319760) = (5)(2)(2)(2)
Down Arrow
d(2319760) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 2,319,760 and how to find them.

Try the factor calculator.

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