Q: What are the factor combinations of the number 234,747,737?

 A:
Positive:   1 x 2347477377 x 33535391227 x 1034131241 x 974057613 x 3829491589 x 1477331687 x 1391514291 x 54707
Negative: -1 x -234747737-7 x -33535391-227 x -1034131-241 x -974057-613 x -382949-1589 x -147733-1687 x -139151-4291 x -54707


How do I find the factor combinations of the number 234,747,737?

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 234,747,737, 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.

1 234,747,737
-1 -234,747,737

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 234,747,737.

Example:
1 x 234,747,737 = 234,747,737
and
-1 x -234,747,737 = 234,747,737
Notice both answers equal 234,747,737

With that explanation out of the way, let's continue. Next, we take the number 234,747,737 and divide it by 2:

234,747,737 ÷ 2 = 117,373,868.5

If the quotient is a whole number, then 2 and 117,373,868.5 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:

1 234,747,737
-1 -234,747,737

Now, we try dividing 234,747,737 by 3:

234,747,737 ÷ 3 = 78,249,245.6667

If the quotient is a whole number, then 3 and 78,249,245.6667 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:

1 234,747,737
-1 -234,747,737

Let's try dividing by 4:

234,747,737 ÷ 4 = 58,686,934.25

If the quotient is a whole number, then 4 and 58,686,934.25 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:

1 234,747,737
-1 234,747,737
Keep dividing by the next highest number until you cannot divide anymore.

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

172272416131,5891,6874,29154,707139,151147,733382,949974,0571,034,13133,535,391234,747,737
-1-7-227-241-613-1,589-1,687-4,291-54,707-139,151-147,733-382,949-974,057-1,034,131-33,535,391-234,747,737

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