Q: What is the total or count of factors of the number 1,356,669?

 A: 14

How do I find the total factors of the number 1,356,669?

Step 1

Find the prime factorization of the number 1,356,669.

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

Factor Tree
1,356,669
Factor Arrows
3452,223
Factor Arrows
3150,741
Factor Arrows
350,247
Factor Arrows
316,749
Factor Arrows
35,583
Factor Arrows
31,861

The prime factorization in exponential form is: 36 x 1,8611

Step 2

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

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

1,356,669 = 36 x 1,8611
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(1356669) = (6 + 1)(1 + 1)
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d(1356669) = (7)(2)
Down Arrow
d(1356669) = 14

More numbers for you to try

Take a look at the factors page to see the factors of 1,356,669 and how to find them.

Try the factor calculator.

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