Q: What is the total or count of factors of the number 1,227,650?

 A: 24

How do I find the total factors of the number 1,227,650?

Step 1

Find the prime factorization of the number 1,227,650.

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

Factor Tree
1,227,650
Factor Arrows
2613,825
Factor Arrows
5122,765
Factor Arrows
524,553
Factor Arrows
43571

The prime factorization in exponential form is: 21 x 52 x 431 x 5711

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.

1,227,650 = 21 x 52 x 431 x 5711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1227650) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1227650) = (2)(3)(2)(2)
Down Arrow
d(1227650) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 1,227,650 and how to find them.

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