Q: What is the total or count of factors of the number 1,740,984?

 A: 64

How do I find the total factors of the number 1,740,984?

Step 1

Find the prime factorization of the number 1,740,984.

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

Factor Tree
1,740,984
Factor Arrows
2870,492
Factor Arrows
2435,246
Factor Arrows
2217,623
Factor Arrows
372,541
Factor Arrows
710,363
Factor Arrows
43241

The prime factorization in exponential form is: 23 x 31 x 71 x 431 x 2411

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)(e + 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.

1,740,984 = 23 x 31 x 71 x 431 x 2411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(1740984) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1740984) = (4)(2)(2)(2)(2)
Down Arrow
d(1740984) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 1,740,984 and how to find them.

Try the factor calculator.

Explore more about the number 1,740,984:


Ask a Question