Q: What is the total or count of factors of the number 1,543,840?

 A: 24

How do I find the total factors of the number 1,543,840?

Step 1

Find the prime factorization of the number 1,543,840.

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

Factor Tree
1,543,840
Factor Arrows
2771,920
Factor Arrows
2385,960
Factor Arrows
2192,980
Factor Arrows
296,490
Factor Arrows
248,245
Factor Arrows
59,649

The prime factorization in exponential form is: 25 x 51 x 9,6491

Step 2

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

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

1,543,840 = 25 x 51 x 9,6491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(1543840) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1543840) = (6)(2)(2)
Down Arrow
d(1543840) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 1,543,840 and how to find them.

Try the factor calculator.

Explore more about the number 1,543,840:


Ask a Question