Q: What are the factor combinations of the number 7,382,713?

 A:
Positive:   1 x 738271313 x 56790143 x 17169147 x 157079281 x 26273559 x 13207611 x 120832021 x 3653
Negative: -1 x -7382713-13 x -567901-43 x -171691-47 x -157079-281 x -26273-559 x -13207-611 x -12083-2021 x -3653


How do I find the factor combinations of the number 7,382,713?

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 7,382,713, 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 7,382,713
-1 -7,382,713

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 7,382,713.

Example:
1 x 7,382,713 = 7,382,713
and
-1 x -7,382,713 = 7,382,713
Notice both answers equal 7,382,713

With that explanation out of the way, let's continue. Next, we take the number 7,382,713 and divide it by 2:

7,382,713 ÷ 2 = 3,691,356.5

If the quotient is a whole number, then 2 and 3,691,356.5 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 7,382,713
-1 -7,382,713

Now, we try dividing 7,382,713 by 3:

7,382,713 ÷ 3 = 2,460,904.3333

If the quotient is a whole number, then 3 and 2,460,904.3333 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 7,382,713
-1 -7,382,713

Let's try dividing by 4:

7,382,713 ÷ 4 = 1,845,678.25

If the quotient is a whole number, then 4 and 1,845,678.25 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 7,382,713
-1 7,382,713
Keep dividing by the next highest number until you cannot divide anymore.

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

11343472815596112,0213,65312,08313,20726,273157,079171,691567,9017,382,713
-1-13-43-47-281-559-611-2,021-3,653-12,083-13,207-26,273-157,079-171,691-567,901-7,382,713

More Examples

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