Q: What are the factor combinations of the number 28,242,799?

 A:
Positive:   1 x 2824279913 x 217252353 x 532883179 x 157781229 x 123331689 x 409912327 x 121372977 x 9487
Negative: -1 x -28242799-13 x -2172523-53 x -532883-179 x -157781-229 x -123331-689 x -40991-2327 x -12137-2977 x -9487


How do I find the factor combinations of the number 28,242,799?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 28,242,799, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 28,242,799
-1 -28,242,799

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 28,242,799.

Example:
1 x 28,242,799 = 28,242,799
and
-1 x -28,242,799 = 28,242,799
Notice both answers equal 28,242,799

With that explanation out of the way, let's continue. Next, we take the number 28,242,799 and divide it by 2:

28,242,799 ÷ 2 = 14,121,399.5

If the quotient is a whole number, then 2 and 14,121,399.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 28,242,799
-1 -28,242,799

Now, we try dividing 28,242,799 by 3:

28,242,799 ÷ 3 = 9,414,266.3333

If the quotient is a whole number, then 3 and 9,414,266.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 28,242,799
-1 -28,242,799

Let's try dividing by 4:

28,242,799 ÷ 4 = 7,060,699.75

If the quotient is a whole number, then 4 and 7,060,699.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 28,242,799
-1 28,242,799
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

113531792296892,3272,9779,48712,13740,991123,331157,781532,8832,172,52328,242,799
-1-13-53-179-229-689-2,327-2,977-9,487-12,137-40,991-123,331-157,781-532,883-2,172,523-28,242,799

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