Q: What is the total or count of factors of the number 1,226,496?

 A: 36

How do I find the total factors of the number 1,226,496?

Step 1

Find the prime factorization of the number 1,226,496.

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

Factor Tree
1,226,496
Factor Arrows
2613,248
Factor Arrows
2306,624
Factor Arrows
2153,312
Factor Arrows
276,656
Factor Arrows
238,328
Factor Arrows
219,164
Factor Arrows
29,582
Factor Arrows
24,791
Factor Arrows
31,597

The prime factorization in exponential form is: 28 x 31 x 1,5971

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.

1,226,496 = 28 x 31 x 1,5971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(1226496) = (8 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1226496) = (9)(2)(2)
Down Arrow
d(1226496) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 1,226,496 and how to find them.

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