Q: What are the factor combinations of the number 24,442,663?

 A:
Positive:   1 x 244426637 x 349180931 x 78847373 x 334831217 x 112639511 x 478331543 x 158412263 x 10801
Negative: -1 x -24442663-7 x -3491809-31 x -788473-73 x -334831-217 x -112639-511 x -47833-1543 x -15841-2263 x -10801


How do I find the factor combinations of the number 24,442,663?

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 24,442,663, 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 24,442,663
-1 -24,442,663

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 24,442,663.

Example:
1 x 24,442,663 = 24,442,663
and
-1 x -24,442,663 = 24,442,663
Notice both answers equal 24,442,663

With that explanation out of the way, let's continue. Next, we take the number 24,442,663 and divide it by 2:

24,442,663 ÷ 2 = 12,221,331.5

If the quotient is a whole number, then 2 and 12,221,331.5 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 24,442,663
-1 -24,442,663

Now, we try dividing 24,442,663 by 3:

24,442,663 ÷ 3 = 8,147,554.3333

If the quotient is a whole number, then 3 and 8,147,554.3333 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 24,442,663
-1 -24,442,663

Let's try dividing by 4:

24,442,663 ÷ 4 = 6,110,665.75

If the quotient is a whole number, then 4 and 6,110,665.75 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 24,442,663
-1 24,442,663
Keep dividing by the next highest number until you cannot divide anymore.

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

1731732175111,5432,26310,80115,84147,833112,639334,831788,4733,491,80924,442,663
-1-7-31-73-217-511-1,543-2,263-10,801-15,841-47,833-112,639-334,831-788,473-3,491,809-24,442,663

More Examples

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