Q: What are the factor combinations of the number 243,040,445?

 A:
Positive:   1 x 2430404455 x 4860808929 x 8380705145 x 1676141499 x 4870552495 x 974113359 x 7235514471 x 16795
Negative: -1 x -243040445-5 x -48608089-29 x -8380705-145 x -1676141-499 x -487055-2495 x -97411-3359 x -72355-14471 x -16795


How do I find the factor combinations of the number 243,040,445?

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 243,040,445, 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.

1 243,040,445
-1 -243,040,445

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 243,040,445.

Example:
1 x 243,040,445 = 243,040,445
and
-1 x -243,040,445 = 243,040,445
Notice both answers equal 243,040,445

With that explanation out of the way, let's continue. Next, we take the number 243,040,445 and divide it by 2:

243,040,445 ÷ 2 = 121,520,222.5

If the quotient is a whole number, then 2 and 121,520,222.5 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:

1 243,040,445
-1 -243,040,445

Now, we try dividing 243,040,445 by 3:

243,040,445 ÷ 3 = 81,013,481.6667

If the quotient is a whole number, then 3 and 81,013,481.6667 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:

1 243,040,445
-1 -243,040,445

Let's try dividing by 4:

243,040,445 ÷ 4 = 60,760,111.25

If the quotient is a whole number, then 4 and 60,760,111.25 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:

1 243,040,445
-1 243,040,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15291454992,4953,35914,47116,79572,35597,411487,0551,676,1418,380,70548,608,089243,040,445
-1-5-29-145-499-2,495-3,359-14,471-16,795-72,355-97,411-487,055-1,676,141-8,380,705-48,608,089-243,040,445

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