Q: What are the factor combinations of the number 206,204,225?

 A:
Positive:   1 x 2062042255 x 4124084525 x 824816967 x 3077675307 x 671675335 x 615535401 x 5142251535 x 1343351675 x 1231072005 x 1028457675 x 2686710025 x 20569
Negative: -1 x -206204225-5 x -41240845-25 x -8248169-67 x -3077675-307 x -671675-335 x -615535-401 x -514225-1535 x -134335-1675 x -123107-2005 x -102845-7675 x -26867-10025 x -20569


How do I find the factor combinations of the number 206,204,225?

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 206,204,225, 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.

1 206,204,225
-1 -206,204,225

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 206,204,225.

Example:
1 x 206,204,225 = 206,204,225
and
-1 x -206,204,225 = 206,204,225
Notice both answers equal 206,204,225

With that explanation out of the way, let's continue. Next, we take the number 206,204,225 and divide it by 2:

206,204,225 ÷ 2 = 103,102,112.5

If the quotient is a whole number, then 2 and 103,102,112.5 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:

1 206,204,225
-1 -206,204,225

Now, we try dividing 206,204,225 by 3:

206,204,225 ÷ 3 = 68,734,741.6667

If the quotient is a whole number, then 3 and 68,734,741.6667 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:

1 206,204,225
-1 -206,204,225

Let's try dividing by 4:

206,204,225 ÷ 4 = 51,551,056.25

If the quotient is a whole number, then 4 and 51,551,056.25 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:

1 206,204,225
-1 206,204,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1525673073354011,5351,6752,0057,67510,02520,56926,867102,845123,107134,335514,225615,535671,6753,077,6758,248,16941,240,845206,204,225
-1-5-25-67-307-335-401-1,535-1,675-2,005-7,675-10,025-20,569-26,867-102,845-123,107-134,335-514,225-615,535-671,675-3,077,675-8,248,169-41,240,845-206,204,225

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