Q: What is the total or count of factors of the number 669,225?

 A: 12

How do I find the total factors of the number 669,225?

Step 1

Find the prime factorization of the number 669,225.

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

Factor Tree
669,225
Factor Arrows
3223,075
Factor Arrows
544,615
Factor Arrows
58,923

The prime factorization in exponential form is: 31 x 52 x 8,9231

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

669,225 = 31 x 52 x 8,9231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
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d(669225) = (1 + 1)(2 + 1)(1 + 1)
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d(669225) = (2)(3)(2)
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d(669225) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 669,225 and how to find them.

Try the factor calculator.

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