Q: What are the factor combinations of the number 363,211,367?

 A:
Positive:   1 x 363211367
Negative: -1 x -363211367


How do I find the factor combinations of the number 363,211,367?

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 363,211,367, 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.

1 363,211,367
-1 -363,211,367

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 363,211,367.

Example:
1 x 363,211,367 = 363,211,367
and
-1 x -363,211,367 = 363,211,367
Notice both answers equal 363,211,367

With that explanation out of the way, let's continue. Next, we take the number 363,211,367 and divide it by 2:

363,211,367 ÷ 2 = 181,605,683.5

If the quotient is a whole number, then 2 and 181,605,683.5 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:

1 363,211,367
-1 -363,211,367

Now, we try dividing 363,211,367 by 3:

363,211,367 ÷ 3 = 121,070,455.6667

If the quotient is a whole number, then 3 and 121,070,455.6667 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:

1 363,211,367
-1 -363,211,367

Let's try dividing by 4:

363,211,367 ÷ 4 = 90,802,841.75

If the quotient is a whole number, then 4 and 90,802,841.75 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:

1 363,211,367
-1 363,211,367
Keep dividing by the next highest number until you cannot divide anymore.

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

1363,211,367
-1-363,211,367

More Examples

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