Q: What is the total or count of factors of the number 1,042,592?

 A: 24

How do I find the total factors of the number 1,042,592?

Step 1

Find the prime factorization of the number 1,042,592.

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

Factor Tree
1,042,592
Factor Arrows
2521,296
Factor Arrows
2260,648
Factor Arrows
2130,324
Factor Arrows
265,162
Factor Arrows
232,581
Factor Arrows
311,051

The prime factorization in exponential form is: 25 x 311 x 1,0511

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

1,042,592 = 25 x 311 x 1,0511
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(1042592) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1042592) = (6)(2)(2)
Down Arrow
d(1042592) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 1,042,592 and how to find them.

Try the factor calculator.

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