Q: What are the factor combinations of the number 216,506,563?

 A:
Positive:   1 x 2165065637 x 3092950913 x 1665435191 x 2379193479 x 4519973353 x 645714967 x 435896227 x 34769
Negative: -1 x -216506563-7 x -30929509-13 x -16654351-91 x -2379193-479 x -451997-3353 x -64571-4967 x -43589-6227 x -34769


How do I find the factor combinations of the number 216,506,563?

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 216,506,563, 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.

1 216,506,563
-1 -216,506,563

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 216,506,563.

Example:
1 x 216,506,563 = 216,506,563
and
-1 x -216,506,563 = 216,506,563
Notice both answers equal 216,506,563

With that explanation out of the way, let's continue. Next, we take the number 216,506,563 and divide it by 2:

216,506,563 ÷ 2 = 108,253,281.5

If the quotient is a whole number, then 2 and 108,253,281.5 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:

1 216,506,563
-1 -216,506,563

Now, we try dividing 216,506,563 by 3:

216,506,563 ÷ 3 = 72,168,854.3333

If the quotient is a whole number, then 3 and 72,168,854.3333 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:

1 216,506,563
-1 -216,506,563

Let's try dividing by 4:

216,506,563 ÷ 4 = 54,126,640.75

If the quotient is a whole number, then 4 and 54,126,640.75 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:

1 216,506,563
-1 216,506,563
Keep dividing by the next highest number until you cannot divide anymore.

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

1713914793,3534,9676,22734,76943,58964,571451,9972,379,19316,654,35130,929,509216,506,563
-1-7-13-91-479-3,353-4,967-6,227-34,769-43,589-64,571-451,997-2,379,193-16,654,351-30,929,509-216,506,563

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