Q: What are the factor combinations of the number 320,213,425?

 A:
Positive:   1 x 3202134255 x 640426857 x 4574477525 x 1280853735 x 9148955175 x 18297911051 x 3046751741 x 1839255255 x 609357357 x 435258705 x 3678512187 x 26275
Negative: -1 x -320213425-5 x -64042685-7 x -45744775-25 x -12808537-35 x -9148955-175 x -1829791-1051 x -304675-1741 x -183925-5255 x -60935-7357 x -43525-8705 x -36785-12187 x -26275


How do I find the factor combinations of the number 320,213,425?

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 320,213,425, 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.

1 320,213,425
-1 -320,213,425

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 320,213,425.

Example:
1 x 320,213,425 = 320,213,425
and
-1 x -320,213,425 = 320,213,425
Notice both answers equal 320,213,425

With that explanation out of the way, let's continue. Next, we take the number 320,213,425 and divide it by 2:

320,213,425 ÷ 2 = 160,106,712.5

If the quotient is a whole number, then 2 and 160,106,712.5 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:

1 320,213,425
-1 -320,213,425

Now, we try dividing 320,213,425 by 3:

320,213,425 ÷ 3 = 106,737,808.3333

If the quotient is a whole number, then 3 and 106,737,808.3333 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:

1 320,213,425
-1 -320,213,425

Let's try dividing by 4:

320,213,425 ÷ 4 = 80,053,356.25

If the quotient is a whole number, then 4 and 80,053,356.25 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:

1 320,213,425
-1 320,213,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351751,0511,7415,2557,3578,70512,18726,27536,78543,52560,935183,925304,6751,829,7919,148,95512,808,53745,744,77564,042,685320,213,425
-1-5-7-25-35-175-1,051-1,741-5,255-7,357-8,705-12,187-26,275-36,785-43,525-60,935-183,925-304,675-1,829,791-9,148,955-12,808,537-45,744,775-64,042,685-320,213,425

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