Q: What are the factor combinations of the number 363,132,445?

 A:
Positive:   1 x 3631324455 x 7262648913 x 2793326565 x 5586653593 x 6123652965 x 1224737709 x 471059421 x 38545
Negative: -1 x -363132445-5 x -72626489-13 x -27933265-65 x -5586653-593 x -612365-2965 x -122473-7709 x -47105-9421 x -38545


How do I find the factor combinations of the number 363,132,445?

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 363,132,445, 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.

1 363,132,445
-1 -363,132,445

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 363,132,445.

Example:
1 x 363,132,445 = 363,132,445
and
-1 x -363,132,445 = 363,132,445
Notice both answers equal 363,132,445

With that explanation out of the way, let's continue. Next, we take the number 363,132,445 and divide it by 2:

363,132,445 ÷ 2 = 181,566,222.5

If the quotient is a whole number, then 2 and 181,566,222.5 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:

1 363,132,445
-1 -363,132,445

Now, we try dividing 363,132,445 by 3:

363,132,445 ÷ 3 = 121,044,148.3333

If the quotient is a whole number, then 3 and 121,044,148.3333 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:

1 363,132,445
-1 -363,132,445

Let's try dividing by 4:

363,132,445 ÷ 4 = 90,783,111.25

If the quotient is a whole number, then 4 and 90,783,111.25 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:

1 363,132,445
-1 363,132,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1513655932,9657,7099,42138,54547,105122,473612,3655,586,65327,933,26572,626,489363,132,445
-1-5-13-65-593-2,965-7,709-9,421-38,545-47,105-122,473-612,365-5,586,653-27,933,265-72,626,489-363,132,445

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