Q: What are the factor combinations of the number 320,411,755?

 A:
Positive:   1 x 3204117555 x 6408235167 x 478226579 x 4055845335 x 956453395 x 8111695293 x 6053512107 x 26465
Negative: -1 x -320411755-5 x -64082351-67 x -4782265-79 x -4055845-335 x -956453-395 x -811169-5293 x -60535-12107 x -26465


How do I find the factor combinations of the number 320,411,755?

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 320,411,755, 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.

1 320,411,755
-1 -320,411,755

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 320,411,755.

Example:
1 x 320,411,755 = 320,411,755
and
-1 x -320,411,755 = 320,411,755
Notice both answers equal 320,411,755

With that explanation out of the way, let's continue. Next, we take the number 320,411,755 and divide it by 2:

320,411,755 ÷ 2 = 160,205,877.5

If the quotient is a whole number, then 2 and 160,205,877.5 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:

1 320,411,755
-1 -320,411,755

Now, we try dividing 320,411,755 by 3:

320,411,755 ÷ 3 = 106,803,918.3333

If the quotient is a whole number, then 3 and 106,803,918.3333 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:

1 320,411,755
-1 -320,411,755

Let's try dividing by 4:

320,411,755 ÷ 4 = 80,102,938.75

If the quotient is a whole number, then 4 and 80,102,938.75 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:

1 320,411,755
-1 320,411,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1567793353955,29312,10726,46560,535811,169956,4534,055,8454,782,26564,082,351320,411,755
-1-5-67-79-335-395-5,293-12,107-26,465-60,535-811,169-956,453-4,055,845-4,782,265-64,082,351-320,411,755

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