Q: What are the factor combinations of the number 23,708,755?

 A:
Positive:   1 x 237087555 x 47417517 x 338696535 x 67739353 x 447335265 x 89467371 x 639051855 x 12781
Negative: -1 x -23708755-5 x -4741751-7 x -3386965-35 x -677393-53 x -447335-265 x -89467-371 x -63905-1855 x -12781


How do I find the factor combinations of the number 23,708,755?

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 23,708,755, 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 23,708,755
-1 -23,708,755

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 23,708,755.

Example:
1 x 23,708,755 = 23,708,755
and
-1 x -23,708,755 = 23,708,755
Notice both answers equal 23,708,755

With that explanation out of the way, let's continue. Next, we take the number 23,708,755 and divide it by 2:

23,708,755 ÷ 2 = 11,854,377.5

If the quotient is a whole number, then 2 and 11,854,377.5 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 23,708,755
-1 -23,708,755

Now, we try dividing 23,708,755 by 3:

23,708,755 ÷ 3 = 7,902,918.3333

If the quotient is a whole number, then 3 and 7,902,918.3333 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 23,708,755
-1 -23,708,755

Let's try dividing by 4:

23,708,755 ÷ 4 = 5,927,188.75

If the quotient is a whole number, then 4 and 5,927,188.75 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 23,708,755
-1 23,708,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,85512,78163,90589,467447,335677,3933,386,9654,741,75123,708,755
-1-5-7-35-53-265-371-1,855-12,781-63,905-89,467-447,335-677,393-3,386,965-4,741,751-23,708,755

More Examples

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