Q: What are the factor combinations of the number 328,758,727?

 A:
Positive:   1 x 32875872711 x 2988715737 x 8885371407 x 807761653 x 5034591237 x 2657717183 x 4576913607 x 24161
Negative: -1 x -328758727-11 x -29887157-37 x -8885371-407 x -807761-653 x -503459-1237 x -265771-7183 x -45769-13607 x -24161


How do I find the factor combinations of the number 328,758,727?

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 328,758,727, 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.

1 328,758,727
-1 -328,758,727

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 328,758,727.

Example:
1 x 328,758,727 = 328,758,727
and
-1 x -328,758,727 = 328,758,727
Notice both answers equal 328,758,727

With that explanation out of the way, let's continue. Next, we take the number 328,758,727 and divide it by 2:

328,758,727 ÷ 2 = 164,379,363.5

If the quotient is a whole number, then 2 and 164,379,363.5 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:

1 328,758,727
-1 -328,758,727

Now, we try dividing 328,758,727 by 3:

328,758,727 ÷ 3 = 109,586,242.3333

If the quotient is a whole number, then 3 and 109,586,242.3333 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:

1 328,758,727
-1 -328,758,727

Let's try dividing by 4:

328,758,727 ÷ 4 = 82,189,681.75

If the quotient is a whole number, then 4 and 82,189,681.75 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:

1 328,758,727
-1 328,758,727
Keep dividing by the next highest number until you cannot divide anymore.

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

111374076531,2377,18313,60724,16145,769265,771503,459807,7618,885,37129,887,157328,758,727
-1-11-37-407-653-1,237-7,183-13,607-24,161-45,769-265,771-503,459-807,761-8,885,371-29,887,157-328,758,727

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