Q: What is the total or count of factors of the number 818,202?

 A: 72

How do I find the total factors of the number 818,202?

Step 1

Find the prime factorization of the number 818,202.

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

Factor Tree
818,202
Factor Arrows
2409,101
Factor Arrows
3136,367
Factor Arrows
719,481
Factor Arrows
72,783
Factor Arrows
11253
Factor Arrows
1123

The prime factorization in exponential form is: 21 x 31 x 72 x 112 x 231

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.

818,202 = 21 x 31 x 72 x 112 x 231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(818202) = (1 + 1)(1 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(818202) = (2)(2)(3)(3)(2)
Down Arrow
d(818202) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 818,202 and how to find them.

Try the factor calculator.

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