Q: What is the total or count of factors of the number 1,433,124?

 A: 108

How do I find the total factors of the number 1,433,124?

Step 1

Find the prime factorization of the number 1,433,124.

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

Factor Tree
1,433,124
Factor Arrows
2716,562
Factor Arrows
2358,281
Factor Arrows
3119,427
Factor Arrows
339,809
Factor Arrows
75,687
Factor Arrows
11517
Factor Arrows
1147

The prime factorization in exponential form is: 22 x 32 x 71 x 112 x 471

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)(e + 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.

1,433,124 = 22 x 32 x 71 x 112 x 471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(1433124) = (2 + 1)(2 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(1433124) = (3)(3)(2)(3)(2)
Down Arrow
d(1433124) = 108

More numbers for you to try

Take a look at the factors page to see the factors of 1,433,124 and how to find them.

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