Q: What is the total or count of factors of the number 769,212?

 A: 36

How do I find the total factors of the number 769,212?

Step 1

Find the prime factorization of the number 769,212.

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

Factor Tree
769,212
Factor Arrows
2384,606
Factor Arrows
2192,303
Factor Arrows
364,101
Factor Arrows
321,367
Factor Arrows
23929

The prime factorization in exponential form is: 22 x 32 x 231 x 9291

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.

769,212 = 22 x 32 x 231 x 9291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(769212) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(769212) = (3)(3)(2)(2)
Down Arrow
d(769212) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 769,212 and how to find them.

Try the factor calculator.

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