Q: What are the factor combinations of the number 118,220,849?

 A:
Positive:   1 x 11822084929 x 4076581509 x 2322618009 x 14761
Negative: -1 x -118220849-29 x -4076581-509 x -232261-8009 x -14761


How do I find the factor combinations of the number 118,220,849?

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 118,220,849, 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.

1 118,220,849
-1 -118,220,849

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 118,220,849.

Example:
1 x 118,220,849 = 118,220,849
and
-1 x -118,220,849 = 118,220,849
Notice both answers equal 118,220,849

With that explanation out of the way, let's continue. Next, we take the number 118,220,849 and divide it by 2:

118,220,849 ÷ 2 = 59,110,424.5

If the quotient is a whole number, then 2 and 59,110,424.5 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:

1 118,220,849
-1 -118,220,849

Now, we try dividing 118,220,849 by 3:

118,220,849 ÷ 3 = 39,406,949.6667

If the quotient is a whole number, then 3 and 39,406,949.6667 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:

1 118,220,849
-1 -118,220,849

Let's try dividing by 4:

118,220,849 ÷ 4 = 29,555,212.25

If the quotient is a whole number, then 4 and 29,555,212.25 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:

1 118,220,849
-1 118,220,849
Keep dividing by the next highest number until you cannot divide anymore.

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

1295098,00914,761232,2614,076,581118,220,849
-1-29-509-8,009-14,761-232,261-4,076,581-118,220,849

More Examples

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