Q: What are the factor combinations of the number 24,884,069?

 A:
Positive:   1 x 248840697 x 3554867113 x 220213163 x 152663193 x 128933791 x 314591141 x 218091351 x 18419
Negative: -1 x -24884069-7 x -3554867-113 x -220213-163 x -152663-193 x -128933-791 x -31459-1141 x -21809-1351 x -18419


How do I find the factor combinations of the number 24,884,069?

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 24,884,069, 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 24,884,069
-1 -24,884,069

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 24,884,069.

Example:
1 x 24,884,069 = 24,884,069
and
-1 x -24,884,069 = 24,884,069
Notice both answers equal 24,884,069

With that explanation out of the way, let's continue. Next, we take the number 24,884,069 and divide it by 2:

24,884,069 ÷ 2 = 12,442,034.5

If the quotient is a whole number, then 2 and 12,442,034.5 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 24,884,069
-1 -24,884,069

Now, we try dividing 24,884,069 by 3:

24,884,069 ÷ 3 = 8,294,689.6667

If the quotient is a whole number, then 3 and 8,294,689.6667 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 24,884,069
-1 -24,884,069

Let's try dividing by 4:

24,884,069 ÷ 4 = 6,221,017.25

If the quotient is a whole number, then 4 and 6,221,017.25 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 24,884,069
-1 24,884,069
Keep dividing by the next highest number until you cannot divide anymore.

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

171131631937911,1411,35118,41921,80931,459128,933152,663220,2133,554,86724,884,069
-1-7-113-163-193-791-1,141-1,351-18,419-21,809-31,459-128,933-152,663-220,213-3,554,867-24,884,069

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