Q: What are the factor combinations of the number 337,977,901?

 A:
Positive:   1 x 33797790117 x 1988105359 x 5728439211 x 16017911003 x 3369671597 x 2116333587 x 9422312449 x 27149
Negative: -1 x -337977901-17 x -19881053-59 x -5728439-211 x -1601791-1003 x -336967-1597 x -211633-3587 x -94223-12449 x -27149


How do I find the factor combinations of the number 337,977,901?

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 337,977,901, 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.

1 337,977,901
-1 -337,977,901

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 337,977,901.

Example:
1 x 337,977,901 = 337,977,901
and
-1 x -337,977,901 = 337,977,901
Notice both answers equal 337,977,901

With that explanation out of the way, let's continue. Next, we take the number 337,977,901 and divide it by 2:

337,977,901 ÷ 2 = 168,988,950.5

If the quotient is a whole number, then 2 and 168,988,950.5 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:

1 337,977,901
-1 -337,977,901

Now, we try dividing 337,977,901 by 3:

337,977,901 ÷ 3 = 112,659,300.3333

If the quotient is a whole number, then 3 and 112,659,300.3333 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:

1 337,977,901
-1 -337,977,901

Let's try dividing by 4:

337,977,901 ÷ 4 = 84,494,475.25

If the quotient is a whole number, then 4 and 84,494,475.25 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:

1 337,977,901
-1 337,977,901
Keep dividing by the next highest number until you cannot divide anymore.

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

117592111,0031,5973,58712,44927,14994,223211,633336,9671,601,7915,728,43919,881,053337,977,901
-1-17-59-211-1,003-1,597-3,587-12,449-27,149-94,223-211,633-336,967-1,601,791-5,728,439-19,881,053-337,977,901

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