Q: What is the total or count of factors of the number 1,392,928?

 A: 48

How do I find the total factors of the number 1,392,928?

Step 1

Find the prime factorization of the number 1,392,928.

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

Factor Tree
1,392,928
Factor Arrows
2696,464
Factor Arrows
2348,232
Factor Arrows
2174,116
Factor Arrows
287,058
Factor Arrows
243,529
Factor Arrows
192,291
Factor Arrows
2979

The prime factorization in exponential form is: 25 x 191 x 291 x 791

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.

1,392,928 = 25 x 191 x 291 x 791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1392928) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1392928) = (6)(2)(2)(2)
Down Arrow
d(1392928) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 1,392,928 and how to find them.

Try the factor calculator.

Explore more about the number 1,392,928:


Ask a Question