Q: What are the factor combinations of the number 24,885,079?

 A:
Positive:   1 x 2488507919 x 130974159 x 42178179 x 315001281 x 885591121 x 221991501 x 165794661 x 5339
Negative: -1 x -24885079-19 x -1309741-59 x -421781-79 x -315001-281 x -88559-1121 x -22199-1501 x -16579-4661 x -5339


How do I find the factor combinations of the number 24,885,079?

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 24,885,079, 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 24,885,079
-1 -24,885,079

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 24,885,079.

Example:
1 x 24,885,079 = 24,885,079
and
-1 x -24,885,079 = 24,885,079
Notice both answers equal 24,885,079

With that explanation out of the way, let's continue. Next, we take the number 24,885,079 and divide it by 2:

24,885,079 ÷ 2 = 12,442,539.5

If the quotient is a whole number, then 2 and 12,442,539.5 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 24,885,079
-1 -24,885,079

Now, we try dividing 24,885,079 by 3:

24,885,079 ÷ 3 = 8,295,026.3333

If the quotient is a whole number, then 3 and 8,295,026.3333 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 24,885,079
-1 -24,885,079

Let's try dividing by 4:

24,885,079 ÷ 4 = 6,221,269.75

If the quotient is a whole number, then 4 and 6,221,269.75 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 24,885,079
-1 24,885,079
Keep dividing by the next highest number until you cannot divide anymore.

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

11959792811,1211,5014,6615,33916,57922,19988,559315,001421,7811,309,74124,885,079
-1-19-59-79-281-1,121-1,501-4,661-5,339-16,579-22,199-88,559-315,001-421,781-1,309,741-24,885,079

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