Q: What is the total or count of factors of the number 942,858?

 A: 36

How do I find the total factors of the number 942,858?

Step 1

Find the prime factorization of the number 942,858.

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

Factor Tree
942,858
Factor Arrows
2471,429
Factor Arrows
3157,143
Factor Arrows
352,381
Factor Arrows
77,483
Factor Arrows
71,069

The prime factorization in exponential form is: 21 x 32 x 72 x 1,0691

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.

942,858 = 21 x 32 x 72 x 1,0691
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(942858) = (1 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(942858) = (2)(3)(3)(2)
Down Arrow
d(942858) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 942,858 and how to find them.

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