Q: What are the factor combinations of the number 670,773,407?

 A:
Positive:   1 x 67077340737 x 1812901141 x 163603271517 x 442171
Negative: -1 x -670773407-37 x -18129011-41 x -16360327-1517 x -442171


How do I find the factor combinations of the number 670,773,407?

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 670,773,407, 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.

1 670,773,407
-1 -670,773,407

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 670,773,407.

Example:
1 x 670,773,407 = 670,773,407
and
-1 x -670,773,407 = 670,773,407
Notice both answers equal 670,773,407

With that explanation out of the way, let's continue. Next, we take the number 670,773,407 and divide it by 2:

670,773,407 ÷ 2 = 335,386,703.5

If the quotient is a whole number, then 2 and 335,386,703.5 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:

1 670,773,407
-1 -670,773,407

Now, we try dividing 670,773,407 by 3:

670,773,407 ÷ 3 = 223,591,135.6667

If the quotient is a whole number, then 3 and 223,591,135.6667 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:

1 670,773,407
-1 -670,773,407

Let's try dividing by 4:

670,773,407 ÷ 4 = 167,693,351.75

If the quotient is a whole number, then 4 and 167,693,351.75 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:

1 670,773,407
-1 670,773,407
Keep dividing by the next highest number until you cannot divide anymore.

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

137411,517442,17116,360,32718,129,011670,773,407
-1-37-41-1,517-442,171-16,360,327-18,129,011-670,773,407

More Examples

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