Q: What are the factor combinations of the number 322,124,215?

 A:
Positive:   1 x 3221242155 x 644248437 x 4601774535 x 9203549241 x 13366151205 x 2673231687 x 1909458435 x 38189
Negative: -1 x -322124215-5 x -64424843-7 x -46017745-35 x -9203549-241 x -1336615-1205 x -267323-1687 x -190945-8435 x -38189


How do I find the factor combinations of the number 322,124,215?

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 322,124,215, 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.

1 322,124,215
-1 -322,124,215

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 322,124,215.

Example:
1 x 322,124,215 = 322,124,215
and
-1 x -322,124,215 = 322,124,215
Notice both answers equal 322,124,215

With that explanation out of the way, let's continue. Next, we take the number 322,124,215 and divide it by 2:

322,124,215 ÷ 2 = 161,062,107.5

If the quotient is a whole number, then 2 and 161,062,107.5 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:

1 322,124,215
-1 -322,124,215

Now, we try dividing 322,124,215 by 3:

322,124,215 ÷ 3 = 107,374,738.3333

If the quotient is a whole number, then 3 and 107,374,738.3333 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:

1 322,124,215
-1 -322,124,215

Let's try dividing by 4:

322,124,215 ÷ 4 = 80,531,053.75

If the quotient is a whole number, then 4 and 80,531,053.75 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:

1 322,124,215
-1 322,124,215
Keep dividing by the next highest number until you cannot divide anymore.

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

157352411,2051,6878,43538,189190,945267,3231,336,6159,203,54946,017,74564,424,843322,124,215
-1-5-7-35-241-1,205-1,687-8,435-38,189-190,945-267,323-1,336,615-9,203,549-46,017,745-64,424,843-322,124,215

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