Q: What are the factor combinations of the number 7,309,357?

 A:
Positive:   1 x 730935711 x 66448719 x 38470341 x 178277209 x 34973451 x 16207779 x 9383853 x 8569
Negative: -1 x -7309357-11 x -664487-19 x -384703-41 x -178277-209 x -34973-451 x -16207-779 x -9383-853 x -8569


How do I find the factor combinations of the number 7,309,357?

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 7,309,357, 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 7,309,357
-1 -7,309,357

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 7,309,357.

Example:
1 x 7,309,357 = 7,309,357
and
-1 x -7,309,357 = 7,309,357
Notice both answers equal 7,309,357

With that explanation out of the way, let's continue. Next, we take the number 7,309,357 and divide it by 2:

7,309,357 ÷ 2 = 3,654,678.5

If the quotient is a whole number, then 2 and 3,654,678.5 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 7,309,357
-1 -7,309,357

Now, we try dividing 7,309,357 by 3:

7,309,357 ÷ 3 = 2,436,452.3333

If the quotient is a whole number, then 3 and 2,436,452.3333 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 7,309,357
-1 -7,309,357

Let's try dividing by 4:

7,309,357 ÷ 4 = 1,827,339.25

If the quotient is a whole number, then 4 and 1,827,339.25 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 7,309,357
-1 7,309,357
Keep dividing by the next highest number until you cannot divide anymore.

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

11119412094517798538,5699,38316,20734,973178,277384,703664,4877,309,357
-1-11-19-41-209-451-779-853-8,569-9,383-16,207-34,973-178,277-384,703-664,487-7,309,357

More Examples

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