Q: What are the factor combinations of the number 24,543,079?

 A:
Positive:   1 x 2454307911 x 223118919 x 1291741209 x 117431
Negative: -1 x -24543079-11 x -2231189-19 x -1291741-209 x -117431


How do I find the factor combinations of the number 24,543,079?

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 24,543,079, 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 24,543,079
-1 -24,543,079

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 24,543,079.

Example:
1 x 24,543,079 = 24,543,079
and
-1 x -24,543,079 = 24,543,079
Notice both answers equal 24,543,079

With that explanation out of the way, let's continue. Next, we take the number 24,543,079 and divide it by 2:

24,543,079 ÷ 2 = 12,271,539.5

If the quotient is a whole number, then 2 and 12,271,539.5 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 24,543,079
-1 -24,543,079

Now, we try dividing 24,543,079 by 3:

24,543,079 ÷ 3 = 8,181,026.3333

If the quotient is a whole number, then 3 and 8,181,026.3333 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 24,543,079
-1 -24,543,079

Let's try dividing by 4:

24,543,079 ÷ 4 = 6,135,769.75

If the quotient is a whole number, then 4 and 6,135,769.75 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 24,543,079
-1 24,543,079
Keep dividing by the next highest number until you cannot divide anymore.

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

11119209117,4311,291,7412,231,18924,543,079
-1-11-19-209-117,431-1,291,741-2,231,189-24,543,079

More Examples

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