Q: What are the factor combinations of the number 215,551,349?

 A:
Positive:   1 x 21555134913 x 16580873593 x 3634937709 x 27961
Negative: -1 x -215551349-13 x -16580873-593 x -363493-7709 x -27961


How do I find the factor combinations of the number 215,551,349?

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 215,551,349, 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.

1 215,551,349
-1 -215,551,349

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 215,551,349.

Example:
1 x 215,551,349 = 215,551,349
and
-1 x -215,551,349 = 215,551,349
Notice both answers equal 215,551,349

With that explanation out of the way, let's continue. Next, we take the number 215,551,349 and divide it by 2:

215,551,349 ÷ 2 = 107,775,674.5

If the quotient is a whole number, then 2 and 107,775,674.5 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:

1 215,551,349
-1 -215,551,349

Now, we try dividing 215,551,349 by 3:

215,551,349 ÷ 3 = 71,850,449.6667

If the quotient is a whole number, then 3 and 71,850,449.6667 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:

1 215,551,349
-1 -215,551,349

Let's try dividing by 4:

215,551,349 ÷ 4 = 53,887,837.25

If the quotient is a whole number, then 4 and 53,887,837.25 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:

1 215,551,349
-1 215,551,349
Keep dividing by the next highest number until you cannot divide anymore.

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

1135937,70927,961363,49316,580,873215,551,349
-1-13-593-7,709-27,961-363,493-16,580,873-215,551,349

More Examples

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