Q: What are the factor combinations of the number 337,025?

 A:
Positive:   1 x 3370255 x 6740513 x 2592517 x 1982525 x 1348161 x 552565 x 518585 x 3965221 x 1525305 x 1105325 x 1037425 x 793
Negative: -1 x -337025-5 x -67405-13 x -25925-17 x -19825-25 x -13481-61 x -5525-65 x -5185-85 x -3965-221 x -1525-305 x -1105-325 x -1037-425 x -793


How do I find the factor combinations of the number 337,025?

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 337,025, 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.

1 337,025
-1 -337,025

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 337,025.

Example:
1 x 337,025 = 337,025
and
-1 x -337,025 = 337,025
Notice both answers equal 337,025

With that explanation out of the way, let's continue. Next, we take the number 337,025 and divide it by 2:

337,025 ÷ 2 = 168,512.5

If the quotient is a whole number, then 2 and 168,512.5 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:

1 337,025
-1 -337,025

Now, we try dividing 337,025 by 3:

337,025 ÷ 3 = 112,341.6667

If the quotient is a whole number, then 3 and 112,341.6667 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:

1 337,025
-1 -337,025

Let's try dividing by 4:

337,025 ÷ 4 = 84,256.25

If the quotient is a whole number, then 4 and 84,256.25 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:

1 337,025
-1 337,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151317256165852213053254257931,0371,1051,5253,9655,1855,52513,48119,82525,92567,405337,025
-1-5-13-17-25-61-65-85-221-305-325-425-793-1,037-1,105-1,525-3,965-5,185-5,525-13,481-19,825-25,925-67,405-337,025

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 337,025:


Ask a Question