Q: What are the factor combinations of the number 363,125,633?

 A:
Positive:   1 x 36312563313 x 2793274123 x 1578807179 x 4596527299 x 12144671027 x 3535791817 x 19984915373 x 23621
Negative: -1 x -363125633-13 x -27932741-23 x -15788071-79 x -4596527-299 x -1214467-1027 x -353579-1817 x -199849-15373 x -23621


How do I find the factor combinations of the number 363,125,633?

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 363,125,633, 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.

1 363,125,633
-1 -363,125,633

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 363,125,633.

Example:
1 x 363,125,633 = 363,125,633
and
-1 x -363,125,633 = 363,125,633
Notice both answers equal 363,125,633

With that explanation out of the way, let's continue. Next, we take the number 363,125,633 and divide it by 2:

363,125,633 ÷ 2 = 181,562,816.5

If the quotient is a whole number, then 2 and 181,562,816.5 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:

1 363,125,633
-1 -363,125,633

Now, we try dividing 363,125,633 by 3:

363,125,633 ÷ 3 = 121,041,877.6667

If the quotient is a whole number, then 3 and 121,041,877.6667 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:

1 363,125,633
-1 -363,125,633

Let's try dividing by 4:

363,125,633 ÷ 4 = 90,781,408.25

If the quotient is a whole number, then 4 and 90,781,408.25 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:

1 363,125,633
-1 363,125,633
Keep dividing by the next highest number until you cannot divide anymore.

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

11323792991,0271,81715,37323,621199,849353,5791,214,4674,596,52715,788,07127,932,741363,125,633
-1-13-23-79-299-1,027-1,817-15,373-23,621-199,849-353,579-1,214,467-4,596,527-15,788,071-27,932,741-363,125,633

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