Q: What are the factor combinations of the number 242,354,225?

 A:
Positive:   1 x 2423542255 x 4847084525 x 969416979 x 3067775277 x 874925395 x 613555443 x 5470751385 x 1749851975 x 1227112215 x 1094156925 x 3499711075 x 21883
Negative: -1 x -242354225-5 x -48470845-25 x -9694169-79 x -3067775-277 x -874925-395 x -613555-443 x -547075-1385 x -174985-1975 x -122711-2215 x -109415-6925 x -34997-11075 x -21883


How do I find the factor combinations of the number 242,354,225?

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 242,354,225, 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.

1 242,354,225
-1 -242,354,225

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 242,354,225.

Example:
1 x 242,354,225 = 242,354,225
and
-1 x -242,354,225 = 242,354,225
Notice both answers equal 242,354,225

With that explanation out of the way, let's continue. Next, we take the number 242,354,225 and divide it by 2:

242,354,225 ÷ 2 = 121,177,112.5

If the quotient is a whole number, then 2 and 121,177,112.5 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:

1 242,354,225
-1 -242,354,225

Now, we try dividing 242,354,225 by 3:

242,354,225 ÷ 3 = 80,784,741.6667

If the quotient is a whole number, then 3 and 80,784,741.6667 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:

1 242,354,225
-1 -242,354,225

Let's try dividing by 4:

242,354,225 ÷ 4 = 60,588,556.25

If the quotient is a whole number, then 4 and 60,588,556.25 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:

1 242,354,225
-1 242,354,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1525792773954431,3851,9752,2156,92511,07521,88334,997109,415122,711174,985547,075613,555874,9253,067,7759,694,16948,470,845242,354,225
-1-5-25-79-277-395-443-1,385-1,975-2,215-6,925-11,075-21,883-34,997-109,415-122,711-174,985-547,075-613,555-874,925-3,067,775-9,694,169-48,470,845-242,354,225

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