Q: What are the factor combinations of the number 363,715?

 A:
Positive:   1 x 3637155 x 7274311 x 3306517 x 2139555 x 661385 x 4279187 x 1945389 x 935
Negative: -1 x -363715-5 x -72743-11 x -33065-17 x -21395-55 x -6613-85 x -4279-187 x -1945-389 x -935


How do I find the factor combinations of the number 363,715?

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 363,715, 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.

1 363,715
-1 -363,715

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 363,715.

Example:
1 x 363,715 = 363,715
and
-1 x -363,715 = 363,715
Notice both answers equal 363,715

With that explanation out of the way, let's continue. Next, we take the number 363,715 and divide it by 2:

363,715 ÷ 2 = 181,857.5

If the quotient is a whole number, then 2 and 181,857.5 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:

1 363,715
-1 -363,715

Now, we try dividing 363,715 by 3:

363,715 ÷ 3 = 121,238.3333

If the quotient is a whole number, then 3 and 121,238.3333 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:

1 363,715
-1 -363,715

Let's try dividing by 4:

363,715 ÷ 4 = 90,928.75

If the quotient is a whole number, then 4 and 90,928.75 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:

1 363,715
-1 363,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851873899351,9454,2796,61321,39533,06572,743363,715
-1-5-11-17-55-85-187-389-935-1,945-4,279-6,613-21,395-33,065-72,743-363,715

More Examples

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