Q: What are the factor combinations of the number 688,866,355?

 A:
Positive:   1 x 6888663555 x 13777327197 x 7101715485 x 1420343769 x 8957951847 x 3729653845 x 1791599235 x 74593
Negative: -1 x -688866355-5 x -137773271-97 x -7101715-485 x -1420343-769 x -895795-1847 x -372965-3845 x -179159-9235 x -74593


How do I find the factor combinations of the number 688,866,355?

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 688,866,355, 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.

1 688,866,355
-1 -688,866,355

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 688,866,355.

Example:
1 x 688,866,355 = 688,866,355
and
-1 x -688,866,355 = 688,866,355
Notice both answers equal 688,866,355

With that explanation out of the way, let's continue. Next, we take the number 688,866,355 and divide it by 2:

688,866,355 ÷ 2 = 344,433,177.5

If the quotient is a whole number, then 2 and 344,433,177.5 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:

1 688,866,355
-1 -688,866,355

Now, we try dividing 688,866,355 by 3:

688,866,355 ÷ 3 = 229,622,118.3333

If the quotient is a whole number, then 3 and 229,622,118.3333 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:

1 688,866,355
-1 -688,866,355

Let's try dividing by 4:

688,866,355 ÷ 4 = 172,216,588.75

If the quotient is a whole number, then 4 and 172,216,588.75 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:

1 688,866,355
-1 688,866,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15974857691,8473,8459,23574,593179,159372,965895,7951,420,3437,101,715137,773,271688,866,355
-1-5-97-485-769-1,847-3,845-9,235-74,593-179,159-372,965-895,795-1,420,343-7,101,715-137,773,271-688,866,355

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 688,866,355:


Ask a Question