Q: What are the factor combinations of the number 321,104,315?

 A:
Positive:   1 x 3211043155 x 642208637 x 4587204535 x 917440937 x 8678495185 x 1735699259 x 12397851295 x 247957
Negative: -1 x -321104315-5 x -64220863-7 x -45872045-35 x -9174409-37 x -8678495-185 x -1735699-259 x -1239785-1295 x -247957


How do I find the factor combinations of the number 321,104,315?

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 321,104,315, 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.

1 321,104,315
-1 -321,104,315

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 321,104,315.

Example:
1 x 321,104,315 = 321,104,315
and
-1 x -321,104,315 = 321,104,315
Notice both answers equal 321,104,315

With that explanation out of the way, let's continue. Next, we take the number 321,104,315 and divide it by 2:

321,104,315 ÷ 2 = 160,552,157.5

If the quotient is a whole number, then 2 and 160,552,157.5 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:

1 321,104,315
-1 -321,104,315

Now, we try dividing 321,104,315 by 3:

321,104,315 ÷ 3 = 107,034,771.6667

If the quotient is a whole number, then 3 and 107,034,771.6667 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:

1 321,104,315
-1 -321,104,315

Let's try dividing by 4:

321,104,315 ÷ 4 = 80,276,078.75

If the quotient is a whole number, then 4 and 80,276,078.75 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:

1 321,104,315
-1 321,104,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852591,295247,9571,239,7851,735,6998,678,4959,174,40945,872,04564,220,863321,104,315
-1-5-7-35-37-185-259-1,295-247,957-1,239,785-1,735,699-8,678,495-9,174,409-45,872,045-64,220,863-321,104,315

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