Q: What are the factor combinations of the number 48,706,709?

 A:
Positive:   1 x 4870670919 x 256351123 x 2117683227 x 214567437 x 111457491 x 991994313 x 112935221 x 9329
Negative: -1 x -48706709-19 x -2563511-23 x -2117683-227 x -214567-437 x -111457-491 x -99199-4313 x -11293-5221 x -9329


How do I find the factor combinations of the number 48,706,709?

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 48,706,709, 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 48,706,709
-1 -48,706,709

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 48,706,709.

Example:
1 x 48,706,709 = 48,706,709
and
-1 x -48,706,709 = 48,706,709
Notice both answers equal 48,706,709

With that explanation out of the way, let's continue. Next, we take the number 48,706,709 and divide it by 2:

48,706,709 ÷ 2 = 24,353,354.5

If the quotient is a whole number, then 2 and 24,353,354.5 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 48,706,709
-1 -48,706,709

Now, we try dividing 48,706,709 by 3:

48,706,709 ÷ 3 = 16,235,569.6667

If the quotient is a whole number, then 3 and 16,235,569.6667 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 48,706,709
-1 -48,706,709

Let's try dividing by 4:

48,706,709 ÷ 4 = 12,176,677.25

If the quotient is a whole number, then 4 and 12,176,677.25 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 48,706,709
-1 48,706,709
Keep dividing by the next highest number until you cannot divide anymore.

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

119232274374914,3135,2219,32911,29399,199111,457214,5672,117,6832,563,51148,706,709
-1-19-23-227-437-491-4,313-5,221-9,329-11,293-99,199-111,457-214,567-2,117,683-2,563,511-48,706,709

More Examples

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