Q: What is the total or count of factors of the number 600,100?

 A: 36

How do I find the total factors of the number 600,100?

Step 1

Find the prime factorization of the number 600,100.

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

Factor Tree
600,100
Factor Arrows
2300,050
Factor Arrows
2150,025
Factor Arrows
530,005
Factor Arrows
56,001
Factor Arrows
17353

The prime factorization in exponential form is: 22 x 52 x 171 x 3531

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.

600,100 = 22 x 52 x 171 x 3531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(600100) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(600100) = (3)(3)(2)(2)
Down Arrow
d(600100) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 600,100 and how to find them.

Try the factor calculator.

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