Q: What are the factor combinations of the number 242,243,123?

 A:
Positive:   1 x 24224312343 x 563356147 x 515410967 x 36155691789 x 1354072021 x 1198632881 x 840833149 x 76927
Negative: -1 x -242243123-43 x -5633561-47 x -5154109-67 x -3615569-1789 x -135407-2021 x -119863-2881 x -84083-3149 x -76927


How do I find the factor combinations of the number 242,243,123?

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 242,243,123, 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.

1 242,243,123
-1 -242,243,123

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 242,243,123.

Example:
1 x 242,243,123 = 242,243,123
and
-1 x -242,243,123 = 242,243,123
Notice both answers equal 242,243,123

With that explanation out of the way, let's continue. Next, we take the number 242,243,123 and divide it by 2:

242,243,123 ÷ 2 = 121,121,561.5

If the quotient is a whole number, then 2 and 121,121,561.5 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:

1 242,243,123
-1 -242,243,123

Now, we try dividing 242,243,123 by 3:

242,243,123 ÷ 3 = 80,747,707.6667

If the quotient is a whole number, then 3 and 80,747,707.6667 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:

1 242,243,123
-1 -242,243,123

Let's try dividing by 4:

242,243,123 ÷ 4 = 60,560,780.75

If the quotient is a whole number, then 4 and 60,560,780.75 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:

1 242,243,123
-1 242,243,123
Keep dividing by the next highest number until you cannot divide anymore.

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

14347671,7892,0212,8813,14976,92784,083119,863135,4073,615,5695,154,1095,633,561242,243,123
-1-43-47-67-1,789-2,021-2,881-3,149-76,927-84,083-119,863-135,407-3,615,569-5,154,109-5,633,561-242,243,123

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