Q: What are the factor combinations of the number 162,656,215?

 A:
Positive:   1 x 1626562155 x 3253124329 x 560883559 x 2756885145 x 1121767295 x 5513771711 x 950658555 x 19013
Negative: -1 x -162656215-5 x -32531243-29 x -5608835-59 x -2756885-145 x -1121767-295 x -551377-1711 x -95065-8555 x -19013


How do I find the factor combinations of the number 162,656,215?

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 162,656,215, 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.

1 162,656,215
-1 -162,656,215

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 162,656,215.

Example:
1 x 162,656,215 = 162,656,215
and
-1 x -162,656,215 = 162,656,215
Notice both answers equal 162,656,215

With that explanation out of the way, let's continue. Next, we take the number 162,656,215 and divide it by 2:

162,656,215 ÷ 2 = 81,328,107.5

If the quotient is a whole number, then 2 and 81,328,107.5 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:

1 162,656,215
-1 -162,656,215

Now, we try dividing 162,656,215 by 3:

162,656,215 ÷ 3 = 54,218,738.3333

If the quotient is a whole number, then 3 and 54,218,738.3333 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:

1 162,656,215
-1 -162,656,215

Let's try dividing by 4:

162,656,215 ÷ 4 = 40,664,053.75

If the quotient is a whole number, then 4 and 40,664,053.75 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:

1 162,656,215
-1 162,656,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1529591452951,7118,55519,01395,065551,3771,121,7672,756,8855,608,83532,531,243162,656,215
-1-5-29-59-145-295-1,711-8,555-19,013-95,065-551,377-1,121,767-2,756,885-5,608,835-32,531,243-162,656,215

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