Q: What are the factor combinations of the number 660,502,205?

 A:
Positive:   1 x 6605022055 x 13210044111 x 6004565555 x 1200913161 x 10827905305 x 2165581671 x 9843553355 x 196871
Negative: -1 x -660502205-5 x -132100441-11 x -60045655-55 x -12009131-61 x -10827905-305 x -2165581-671 x -984355-3355 x -196871


How do I find the factor combinations of the number 660,502,205?

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 660,502,205, 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.

1 660,502,205
-1 -660,502,205

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 660,502,205.

Example:
1 x 660,502,205 = 660,502,205
and
-1 x -660,502,205 = 660,502,205
Notice both answers equal 660,502,205

With that explanation out of the way, let's continue. Next, we take the number 660,502,205 and divide it by 2:

660,502,205 ÷ 2 = 330,251,102.5

If the quotient is a whole number, then 2 and 330,251,102.5 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:

1 660,502,205
-1 -660,502,205

Now, we try dividing 660,502,205 by 3:

660,502,205 ÷ 3 = 220,167,401.6667

If the quotient is a whole number, then 3 and 220,167,401.6667 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:

1 660,502,205
-1 -660,502,205

Let's try dividing by 4:

660,502,205 ÷ 4 = 165,125,551.25

If the quotient is a whole number, then 4 and 165,125,551.25 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:

1 660,502,205
-1 660,502,205
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,355196,871984,3552,165,58110,827,90512,009,13160,045,655132,100,441660,502,205
-1-5-11-55-61-305-671-3,355-196,871-984,355-2,165,581-10,827,905-12,009,131-60,045,655-132,100,441-660,502,205

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