Q: What are the factor combinations of the number 222,015,025?

 A:
Positive:   1 x 2220150255 x 4440300525 x 888060131 x 7161775155 x 1432355775 x 286471961 x 2310254805 x 462059241 x 24025
Negative: -1 x -222015025-5 x -44403005-25 x -8880601-31 x -7161775-155 x -1432355-775 x -286471-961 x -231025-4805 x -46205-9241 x -24025


How do I find the factor combinations of the number 222,015,025?

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 222,015,025, 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.

1 222,015,025
-1 -222,015,025

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 222,015,025.

Example:
1 x 222,015,025 = 222,015,025
and
-1 x -222,015,025 = 222,015,025
Notice both answers equal 222,015,025

With that explanation out of the way, let's continue. Next, we take the number 222,015,025 and divide it by 2:

222,015,025 ÷ 2 = 111,007,512.5

If the quotient is a whole number, then 2 and 111,007,512.5 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:

1 222,015,025
-1 -222,015,025

Now, we try dividing 222,015,025 by 3:

222,015,025 ÷ 3 = 74,005,008.3333

If the quotient is a whole number, then 3 and 74,005,008.3333 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:

1 222,015,025
-1 -222,015,025

Let's try dividing by 4:

222,015,025 ÷ 4 = 55,503,756.25

If the quotient is a whole number, then 4 and 55,503,756.25 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:

1 222,015,025
-1 222,015,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311557759614,8059,24124,02546,205231,025286,4711,432,3557,161,7758,880,60144,403,005222,015,025
-1-5-25-31-155-775-961-4,805-9,241-24,025-46,205-231,025-286,471-1,432,355-7,161,775-8,880,601-44,403,005-222,015,025

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