Q: What are the factor combinations of the number 373,002,715?

 A:
Positive:   1 x 3730027155 x 74600543
Negative: -1 x -373002715-5 x -74600543


How do I find the factor combinations of the number 373,002,715?

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 373,002,715, 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.

1 373,002,715
-1 -373,002,715

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 373,002,715.

Example:
1 x 373,002,715 = 373,002,715
and
-1 x -373,002,715 = 373,002,715
Notice both answers equal 373,002,715

With that explanation out of the way, let's continue. Next, we take the number 373,002,715 and divide it by 2:

373,002,715 ÷ 2 = 186,501,357.5

If the quotient is a whole number, then 2 and 186,501,357.5 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:

1 373,002,715
-1 -373,002,715

Now, we try dividing 373,002,715 by 3:

373,002,715 ÷ 3 = 124,334,238.3333

If the quotient is a whole number, then 3 and 124,334,238.3333 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:

1 373,002,715
-1 -373,002,715

Let's try dividing by 4:

373,002,715 ÷ 4 = 93,250,678.75

If the quotient is a whole number, then 4 and 93,250,678.75 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:

1 373,002,715
-1 373,002,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1574,600,543373,002,715
-1-5-74,600,543-373,002,715

More Examples

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