Q: What are the factor combinations of the number 337,455,703?

 A:
Positive:   1 x 33745570313 x 25958131173 x 1950611227 x 1486589661 x 5105232249 x 1500472951 x 1143538593 x 39271
Negative: -1 x -337455703-13 x -25958131-173 x -1950611-227 x -1486589-661 x -510523-2249 x -150047-2951 x -114353-8593 x -39271


How do I find the factor combinations of the number 337,455,703?

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 337,455,703, 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.

1 337,455,703
-1 -337,455,703

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 337,455,703.

Example:
1 x 337,455,703 = 337,455,703
and
-1 x -337,455,703 = 337,455,703
Notice both answers equal 337,455,703

With that explanation out of the way, let's continue. Next, we take the number 337,455,703 and divide it by 2:

337,455,703 ÷ 2 = 168,727,851.5

If the quotient is a whole number, then 2 and 168,727,851.5 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:

1 337,455,703
-1 -337,455,703

Now, we try dividing 337,455,703 by 3:

337,455,703 ÷ 3 = 112,485,234.3333

If the quotient is a whole number, then 3 and 112,485,234.3333 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:

1 337,455,703
-1 -337,455,703

Let's try dividing by 4:

337,455,703 ÷ 4 = 84,363,925.75

If the quotient is a whole number, then 4 and 84,363,925.75 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:

1 337,455,703
-1 337,455,703
Keep dividing by the next highest number until you cannot divide anymore.

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

1131732276612,2492,9518,59339,271114,353150,047510,5231,486,5891,950,61125,958,131337,455,703
-1-13-173-227-661-2,249-2,951-8,593-39,271-114,353-150,047-510,523-1,486,589-1,950,611-25,958,131-337,455,703

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