Q: What are the factor combinations of the number 370,662,131?

 A:
Positive:   1 x 3706621317 x 5295173359 x 6282409137 x 2705563413 x 897487959 x 3865096551 x 565818083 x 45857
Negative: -1 x -370662131-7 x -52951733-59 x -6282409-137 x -2705563-413 x -897487-959 x -386509-6551 x -56581-8083 x -45857


How do I find the factor combinations of the number 370,662,131?

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 370,662,131, 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.

1 370,662,131
-1 -370,662,131

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 370,662,131.

Example:
1 x 370,662,131 = 370,662,131
and
-1 x -370,662,131 = 370,662,131
Notice both answers equal 370,662,131

With that explanation out of the way, let's continue. Next, we take the number 370,662,131 and divide it by 2:

370,662,131 ÷ 2 = 185,331,065.5

If the quotient is a whole number, then 2 and 185,331,065.5 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:

1 370,662,131
-1 -370,662,131

Now, we try dividing 370,662,131 by 3:

370,662,131 ÷ 3 = 123,554,043.6667

If the quotient is a whole number, then 3 and 123,554,043.6667 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:

1 370,662,131
-1 -370,662,131

Let's try dividing by 4:

370,662,131 ÷ 4 = 92,665,532.75

If the quotient is a whole number, then 4 and 92,665,532.75 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:

1 370,662,131
-1 370,662,131
Keep dividing by the next highest number until you cannot divide anymore.

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

17591374139596,5518,08345,85756,581386,509897,4872,705,5636,282,40952,951,733370,662,131
-1-7-59-137-413-959-6,551-8,083-45,857-56,581-386,509-897,487-2,705,563-6,282,409-52,951,733-370,662,131

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