Q: What are the factor combinations of the number 615,324,353?

 A:
Positive:   1 x 6153243537 x 87903479283 x 2174291383 x 1606591811 x 7587231981 x 3106132681 x 2295135677 x 108389
Negative: -1 x -615324353-7 x -87903479-283 x -2174291-383 x -1606591-811 x -758723-1981 x -310613-2681 x -229513-5677 x -108389


How do I find the factor combinations of the number 615,324,353?

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 615,324,353, 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.

1 615,324,353
-1 -615,324,353

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 615,324,353.

Example:
1 x 615,324,353 = 615,324,353
and
-1 x -615,324,353 = 615,324,353
Notice both answers equal 615,324,353

With that explanation out of the way, let's continue. Next, we take the number 615,324,353 and divide it by 2:

615,324,353 ÷ 2 = 307,662,176.5

If the quotient is a whole number, then 2 and 307,662,176.5 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:

1 615,324,353
-1 -615,324,353

Now, we try dividing 615,324,353 by 3:

615,324,353 ÷ 3 = 205,108,117.6667

If the quotient is a whole number, then 3 and 205,108,117.6667 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:

1 615,324,353
-1 -615,324,353

Let's try dividing by 4:

615,324,353 ÷ 4 = 153,831,088.25

If the quotient is a whole number, then 4 and 153,831,088.25 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:

1 615,324,353
-1 615,324,353
Keep dividing by the next highest number until you cannot divide anymore.

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

172833838111,9812,6815,677108,389229,513310,613758,7231,606,5912,174,29187,903,479615,324,353
-1-7-283-383-811-1,981-2,681-5,677-108,389-229,513-310,613-758,723-1,606,591-2,174,291-87,903,479-615,324,353

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