Q: What is the total or count of factors of the number 859,950?

 A: 144

How do I find the total factors of the number 859,950?

Step 1

Find the prime factorization of the number 859,950.

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

Factor Tree
859,950
Factor Arrows
2429,975
Factor Arrows
3143,325
Factor Arrows
347,775
Factor Arrows
315,925
Factor Arrows
53,185
Factor Arrows
5637
Factor Arrows
791
Factor Arrows
713

The prime factorization in exponential form is: 21 x 33 x 52 x 72 x 131

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.

859,950 = 21 x 33 x 52 x 72 x 131
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(859950) = (1 + 1)(3 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(859950) = (2)(4)(3)(3)(2)
Down Arrow
d(859950) = 144

More numbers for you to try

Take a look at the factors page to see the factors of 859,950 and how to find them.

Try the factor calculator.

Explore more about the number 859,950:


Ask a Question