Q: What are the factor combinations of the number 670,326,731?

 A:
Positive:   1 x 670326731461 x 1454071
Negative: -1 x -670326731-461 x -1454071


How do I find the factor combinations of the number 670,326,731?

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 670,326,731, 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.

1 670,326,731
-1 -670,326,731

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 670,326,731.

Example:
1 x 670,326,731 = 670,326,731
and
-1 x -670,326,731 = 670,326,731
Notice both answers equal 670,326,731

With that explanation out of the way, let's continue. Next, we take the number 670,326,731 and divide it by 2:

670,326,731 ÷ 2 = 335,163,365.5

If the quotient is a whole number, then 2 and 335,163,365.5 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:

1 670,326,731
-1 -670,326,731

Now, we try dividing 670,326,731 by 3:

670,326,731 ÷ 3 = 223,442,243.6667

If the quotient is a whole number, then 3 and 223,442,243.6667 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:

1 670,326,731
-1 -670,326,731

Let's try dividing by 4:

670,326,731 ÷ 4 = 167,581,682.75

If the quotient is a whole number, then 4 and 167,581,682.75 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:

1 670,326,731
-1 670,326,731
Keep dividing by the next highest number until you cannot divide anymore.

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

14611,454,071670,326,731
-1-461-1,454,071-670,326,731

More Examples

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