Q: What are the factor combinations of the number 660,547,625?

 A:
Positive:   1 x 6605476255 x 13210952525 x 26421905125 x 5284381167 x 3955375835 x 7910754175 x 15821520875 x 31643
Negative: -1 x -660547625-5 x -132109525-25 x -26421905-125 x -5284381-167 x -3955375-835 x -791075-4175 x -158215-20875 x -31643


How do I find the factor combinations of the number 660,547,625?

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 660,547,625, 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.

1 660,547,625
-1 -660,547,625

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 660,547,625.

Example:
1 x 660,547,625 = 660,547,625
and
-1 x -660,547,625 = 660,547,625
Notice both answers equal 660,547,625

With that explanation out of the way, let's continue. Next, we take the number 660,547,625 and divide it by 2:

660,547,625 ÷ 2 = 330,273,812.5

If the quotient is a whole number, then 2 and 330,273,812.5 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:

1 660,547,625
-1 -660,547,625

Now, we try dividing 660,547,625 by 3:

660,547,625 ÷ 3 = 220,182,541.6667

If the quotient is a whole number, then 3 and 220,182,541.6667 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:

1 660,547,625
-1 -660,547,625

Let's try dividing by 4:

660,547,625 ÷ 4 = 165,136,906.25

If the quotient is a whole number, then 4 and 165,136,906.25 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:

1 660,547,625
-1 660,547,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251678354,17520,87531,643158,215791,0753,955,3755,284,38126,421,905132,109,525660,547,625
-1-5-25-125-167-835-4,175-20,875-31,643-158,215-791,075-3,955,375-5,284,381-26,421,905-132,109,525-660,547,625

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