Q: What is the total or count of factors of the number 1,351,224?

 A: 72

How do I find the total factors of the number 1,351,224?

Step 1

Find the prime factorization of the number 1,351,224.

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

Factor Tree
1,351,224
Factor Arrows
2675,612
Factor Arrows
2337,806
Factor Arrows
2168,903
Factor Arrows
356,301
Factor Arrows
318,767
Factor Arrows
72,681
Factor Arrows
7383

The prime factorization in exponential form is: 23 x 32 x 72 x 3831

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.

1,351,224 = 23 x 32 x 72 x 3831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1351224) = (3 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(1351224) = (4)(3)(3)(2)
Down Arrow
d(1351224) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 1,351,224 and how to find them.

Try the factor calculator.

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