Q: What are the factor combinations of the number 243,140,405?

 A:
Positive:   1 x 2431404055 x 48628081113 x 2151685157 x 1548665565 x 430337785 x 3097332741 x 8870513705 x 17741
Negative: -1 x -243140405-5 x -48628081-113 x -2151685-157 x -1548665-565 x -430337-785 x -309733-2741 x -88705-13705 x -17741


How do I find the factor combinations of the number 243,140,405?

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 243,140,405, 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.

1 243,140,405
-1 -243,140,405

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 243,140,405.

Example:
1 x 243,140,405 = 243,140,405
and
-1 x -243,140,405 = 243,140,405
Notice both answers equal 243,140,405

With that explanation out of the way, let's continue. Next, we take the number 243,140,405 and divide it by 2:

243,140,405 ÷ 2 = 121,570,202.5

If the quotient is a whole number, then 2 and 121,570,202.5 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:

1 243,140,405
-1 -243,140,405

Now, we try dividing 243,140,405 by 3:

243,140,405 ÷ 3 = 81,046,801.6667

If the quotient is a whole number, then 3 and 81,046,801.6667 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:

1 243,140,405
-1 -243,140,405

Let's try dividing by 4:

243,140,405 ÷ 4 = 60,785,101.25

If the quotient is a whole number, then 4 and 60,785,101.25 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:

1 243,140,405
-1 243,140,405
Keep dividing by the next highest number until you cannot divide anymore.

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

151131575657852,74113,70517,74188,705309,733430,3371,548,6652,151,68548,628,081243,140,405
-1-5-113-157-565-785-2,741-13,705-17,741-88,705-309,733-430,337-1,548,665-2,151,685-48,628,081-243,140,405

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