Q: What are the factor combinations of the number 707,502,349?

 A:
Positive:   1 x 70750234943 x 1645354373 x 9691813263 x 2690123857 x 8255573139 x 22539111309 x 6256119199 x 36851
Negative: -1 x -707502349-43 x -16453543-73 x -9691813-263 x -2690123-857 x -825557-3139 x -225391-11309 x -62561-19199 x -36851


How do I find the factor combinations of the number 707,502,349?

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 707,502,349, 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.

1 707,502,349
-1 -707,502,349

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 707,502,349.

Example:
1 x 707,502,349 = 707,502,349
and
-1 x -707,502,349 = 707,502,349
Notice both answers equal 707,502,349

With that explanation out of the way, let's continue. Next, we take the number 707,502,349 and divide it by 2:

707,502,349 ÷ 2 = 353,751,174.5

If the quotient is a whole number, then 2 and 353,751,174.5 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:

1 707,502,349
-1 -707,502,349

Now, we try dividing 707,502,349 by 3:

707,502,349 ÷ 3 = 235,834,116.3333

If the quotient is a whole number, then 3 and 235,834,116.3333 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:

1 707,502,349
-1 -707,502,349

Let's try dividing by 4:

707,502,349 ÷ 4 = 176,875,587.25

If the quotient is a whole number, then 4 and 176,875,587.25 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:

1 707,502,349
-1 707,502,349
Keep dividing by the next highest number until you cannot divide anymore.

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

143732638573,13911,30919,19936,85162,561225,391825,5572,690,1239,691,81316,453,543707,502,349
-1-43-73-263-857-3,139-11,309-19,199-36,851-62,561-225,391-825,557-2,690,123-9,691,813-16,453,543-707,502,349

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