Q: What are the factor combinations of the number 117,845?

 A:
Positive:   1 x 1178455 x 235697 x 1683513 x 906535 x 336737 x 318549 x 240565 x 181391 x 1295185 x 637245 x 481259 x 455
Negative: -1 x -117845-5 x -23569-7 x -16835-13 x -9065-35 x -3367-37 x -3185-49 x -2405-65 x -1813-91 x -1295-185 x -637-245 x -481-259 x -455


How do I find the factor combinations of the number 117,845?

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 117,845, 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.

1 117,845
-1 -117,845

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 117,845.

Example:
1 x 117,845 = 117,845
and
-1 x -117,845 = 117,845
Notice both answers equal 117,845

With that explanation out of the way, let's continue. Next, we take the number 117,845 and divide it by 2:

117,845 ÷ 2 = 58,922.5

If the quotient is a whole number, then 2 and 58,922.5 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:

1 117,845
-1 -117,845

Now, we try dividing 117,845 by 3:

117,845 ÷ 3 = 39,281.6667

If the quotient is a whole number, then 3 and 39,281.6667 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:

1 117,845
-1 -117,845

Let's try dividing by 4:

117,845 ÷ 4 = 29,461.25

If the quotient is a whole number, then 4 and 29,461.25 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:

1 117,845
-1 117,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1571335374965911852452594554816371,2951,8132,4053,1853,3679,06516,83523,569117,845
-1-5-7-13-35-37-49-65-91-185-245-259-455-481-637-1,295-1,813-2,405-3,185-3,367-9,065-16,835-23,569-117,845

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