Q: What are the factor combinations of the number 337,943,945?

 A:
Positive:   1 x 3379439455 x 6758878923 x 14693215115 x 2938643179 x 1887955895 x 3775914117 x 8208516417 x 20585
Negative: -1 x -337943945-5 x -67588789-23 x -14693215-115 x -2938643-179 x -1887955-895 x -377591-4117 x -82085-16417 x -20585


How do I find the factor combinations of the number 337,943,945?

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 337,943,945, 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.

1 337,943,945
-1 -337,943,945

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 337,943,945.

Example:
1 x 337,943,945 = 337,943,945
and
-1 x -337,943,945 = 337,943,945
Notice both answers equal 337,943,945

With that explanation out of the way, let's continue. Next, we take the number 337,943,945 and divide it by 2:

337,943,945 ÷ 2 = 168,971,972.5

If the quotient is a whole number, then 2 and 168,971,972.5 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:

1 337,943,945
-1 -337,943,945

Now, we try dividing 337,943,945 by 3:

337,943,945 ÷ 3 = 112,647,981.6667

If the quotient is a whole number, then 3 and 112,647,981.6667 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:

1 337,943,945
-1 -337,943,945

Let's try dividing by 4:

337,943,945 ÷ 4 = 84,485,986.25

If the quotient is a whole number, then 4 and 84,485,986.25 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:

1 337,943,945
-1 337,943,945
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151798954,11716,41720,58582,085377,5911,887,9552,938,64314,693,21567,588,789337,943,945
-1-5-23-115-179-895-4,117-16,417-20,585-82,085-377,591-1,887,955-2,938,643-14,693,215-67,588,789-337,943,945

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