Q: What is the total or count of factors of the number 1,382,848?

 A: 56

How do I find the total factors of the number 1,382,848?

Step 1

Find the prime factorization of the number 1,382,848.

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

Factor Tree
1,382,848
Factor Arrows
2691,424
Factor Arrows
2345,712
Factor Arrows
2172,856
Factor Arrows
286,428
Factor Arrows
243,214
Factor Arrows
221,607
Factor Arrows
171,271
Factor Arrows
3141

The prime factorization in exponential form is: 26 x 171 x 311 x 411

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.

1,382,848 = 26 x 171 x 311 x 411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1382848) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1382848) = (7)(2)(2)(2)
Down Arrow
d(1382848) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 1,382,848 and how to find them.

Try the factor calculator.

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