Q: What are the factor combinations of the number 216,313,655?

 A:
Positive:   1 x 2163136555 x 4326273137 x 5846315185 x 1169263359 x 6025451795 x 1205093257 x 6641513283 x 16285
Negative: -1 x -216313655-5 x -43262731-37 x -5846315-185 x -1169263-359 x -602545-1795 x -120509-3257 x -66415-13283 x -16285


How do I find the factor combinations of the number 216,313,655?

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 216,313,655, 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.

1 216,313,655
-1 -216,313,655

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 216,313,655.

Example:
1 x 216,313,655 = 216,313,655
and
-1 x -216,313,655 = 216,313,655
Notice both answers equal 216,313,655

With that explanation out of the way, let's continue. Next, we take the number 216,313,655 and divide it by 2:

216,313,655 ÷ 2 = 108,156,827.5

If the quotient is a whole number, then 2 and 108,156,827.5 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:

1 216,313,655
-1 -216,313,655

Now, we try dividing 216,313,655 by 3:

216,313,655 ÷ 3 = 72,104,551.6667

If the quotient is a whole number, then 3 and 72,104,551.6667 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:

1 216,313,655
-1 -216,313,655

Let's try dividing by 4:

216,313,655 ÷ 4 = 54,078,413.75

If the quotient is a whole number, then 4 and 54,078,413.75 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:

1 216,313,655
-1 216,313,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15371853591,7953,25713,28316,28566,415120,509602,5451,169,2635,846,31543,262,731216,313,655
-1-5-37-185-359-1,795-3,257-13,283-16,285-66,415-120,509-602,545-1,169,263-5,846,315-43,262,731-216,313,655

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