Q: What is the total or count of factors of the number 1,208,448?

 A: 48

How do I find the total factors of the number 1,208,448?

Step 1

Find the prime factorization of the number 1,208,448.

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

Factor Tree
1,208,448
Factor Arrows
2604,224
Factor Arrows
2302,112
Factor Arrows
2151,056
Factor Arrows
275,528
Factor Arrows
237,764
Factor Arrows
218,882
Factor Arrows
29,441
Factor Arrows
33,147
Factor Arrows
31,049

The prime factorization in exponential form is: 27 x 32 x 1,0491

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.

1,208,448 = 27 x 32 x 1,0491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(1208448) = (7 + 1)(2 + 1)(1 + 1)
Down Arrow
d(1208448) = (8)(3)(2)
Down Arrow
d(1208448) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 1,208,448 and how to find them.

Try the factor calculator.

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