Q: What is the total or count of factors of the number 1,366,144?

 A: 32

How do I find the total factors of the number 1,366,144?

Step 1

Find the prime factorization of the number 1,366,144.

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

Factor Tree
1,366,144
Factor Arrows
2683,072
Factor Arrows
2341,536
Factor Arrows
2170,768
Factor Arrows
285,384
Factor Arrows
242,692
Factor Arrows
221,346
Factor Arrows
210,673
Factor Arrows
13821

The prime factorization in exponential form is: 27 x 131 x 8211

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.

1,366,144 = 27 x 131 x 8211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(1366144) = (7 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1366144) = (8)(2)(2)
Down Arrow
d(1366144) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 1,366,144 and how to find them.

Try the factor calculator.

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