Q: What are the factor combinations of the number 24,463,663?

 A:
Positive:   1 x 244636637 x 349480917 x 1439039119 x 205577167 x 1464891169 x 209271231 x 198732839 x 8617
Negative: -1 x -24463663-7 x -3494809-17 x -1439039-119 x -205577-167 x -146489-1169 x -20927-1231 x -19873-2839 x -8617


How do I find the factor combinations of the number 24,463,663?

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 24,463,663, 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 24,463,663
-1 -24,463,663

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 24,463,663.

Example:
1 x 24,463,663 = 24,463,663
and
-1 x -24,463,663 = 24,463,663
Notice both answers equal 24,463,663

With that explanation out of the way, let's continue. Next, we take the number 24,463,663 and divide it by 2:

24,463,663 ÷ 2 = 12,231,831.5

If the quotient is a whole number, then 2 and 12,231,831.5 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 24,463,663
-1 -24,463,663

Now, we try dividing 24,463,663 by 3:

24,463,663 ÷ 3 = 8,154,554.3333

If the quotient is a whole number, then 3 and 8,154,554.3333 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 24,463,663
-1 -24,463,663

Let's try dividing by 4:

24,463,663 ÷ 4 = 6,115,915.75

If the quotient is a whole number, then 4 and 6,115,915.75 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 24,463,663
-1 24,463,663
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191671,1691,2312,8398,61719,87320,927146,489205,5771,439,0393,494,80924,463,663
-1-7-17-119-167-1,169-1,231-2,839-8,617-19,873-20,927-146,489-205,577-1,439,039-3,494,809-24,463,663

More Examples

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