Q: What are the factor combinations of the number 362,635,507?

 A:
Positive:   1 x 36263550713 x 27895039173 x 2096159383 x 946829421 x 8613672249 x 1612434979 x 728335473 x 66259
Negative: -1 x -362635507-13 x -27895039-173 x -2096159-383 x -946829-421 x -861367-2249 x -161243-4979 x -72833-5473 x -66259


How do I find the factor combinations of the number 362,635,507?

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 362,635,507, 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.

1 362,635,507
-1 -362,635,507

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 362,635,507.

Example:
1 x 362,635,507 = 362,635,507
and
-1 x -362,635,507 = 362,635,507
Notice both answers equal 362,635,507

With that explanation out of the way, let's continue. Next, we take the number 362,635,507 and divide it by 2:

362,635,507 ÷ 2 = 181,317,753.5

If the quotient is a whole number, then 2 and 181,317,753.5 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:

1 362,635,507
-1 -362,635,507

Now, we try dividing 362,635,507 by 3:

362,635,507 ÷ 3 = 120,878,502.3333

If the quotient is a whole number, then 3 and 120,878,502.3333 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:

1 362,635,507
-1 -362,635,507

Let's try dividing by 4:

362,635,507 ÷ 4 = 90,658,876.75

If the quotient is a whole number, then 4 and 90,658,876.75 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:

1 362,635,507
-1 362,635,507
Keep dividing by the next highest number until you cannot divide anymore.

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

1131733834212,2494,9795,47366,25972,833161,243861,367946,8292,096,15927,895,039362,635,507
-1-13-173-383-421-2,249-4,979-5,473-66,259-72,833-161,243-861,367-946,829-2,096,159-27,895,039-362,635,507

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