Q: What is the total or count of factors of the number 43,350,144?

 A: 64

How do I find the total factors of the number 43,350,144?

Step 1

Find the prime factorization of the number 43,350,144.

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

Factor Tree
43,350,144
Factor Arrows
221,675,072
Factor Arrows
210,837,536
Factor Arrows
25,418,768
Factor Arrows
22,709,384
Factor Arrows
21,354,692
Factor Arrows
2677,346
Factor Arrows
2338,673
Factor Arrows
3112,891
Factor Arrows
791,429

The prime factorization in exponential form is: 27 x 31 x 791 x 1,4291

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.

43,350,144 = 27 x 31 x 791 x 1,4291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(43350144) = (7 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(43350144) = (8)(2)(2)(2)
Down Arrow
d(43350144) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 43,350,144 and how to find them.

Try the factor calculator.

Explore more about the number 43,350,144:


Ask a Question