Q: What is the total or count of factors of the number 874,890?

 A: 24

How do I find the total factors of the number 874,890?

Step 1

Find the prime factorization of the number 874,890.

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

Factor Tree
874,890
Factor Arrows
2437,445
Factor Arrows
3145,815
Factor Arrows
348,605
Factor Arrows
59,721

The prime factorization in exponential form is: 21 x 32 x 51 x 9,7211

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.

874,890 = 21 x 32 x 51 x 9,7211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(874890) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(874890) = (2)(3)(2)(2)
Down Arrow
d(874890) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 874,890 and how to find them.

Try the factor calculator.

Explore more about the number 874,890:


Ask a Question