Q: What are the factor combinations of the number 220,330,025?

 A:
Positive:   1 x 2203300255 x 4406600525 x 8813201149 x 1478725745 x 2957453725 x 59149
Negative: -1 x -220330025-5 x -44066005-25 x -8813201-149 x -1478725-745 x -295745-3725 x -59149


How do I find the factor combinations of the number 220,330,025?

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 220,330,025, 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.

1 220,330,025
-1 -220,330,025

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 220,330,025.

Example:
1 x 220,330,025 = 220,330,025
and
-1 x -220,330,025 = 220,330,025
Notice both answers equal 220,330,025

With that explanation out of the way, let's continue. Next, we take the number 220,330,025 and divide it by 2:

220,330,025 ÷ 2 = 110,165,012.5

If the quotient is a whole number, then 2 and 110,165,012.5 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:

1 220,330,025
-1 -220,330,025

Now, we try dividing 220,330,025 by 3:

220,330,025 ÷ 3 = 73,443,341.6667

If the quotient is a whole number, then 3 and 73,443,341.6667 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:

1 220,330,025
-1 -220,330,025

Let's try dividing by 4:

220,330,025 ÷ 4 = 55,082,506.25

If the quotient is a whole number, then 4 and 55,082,506.25 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:

1 220,330,025
-1 220,330,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15251497453,72559,149295,7451,478,7258,813,20144,066,005220,330,025
-1-5-25-149-745-3,725-59,149-295,745-1,478,725-8,813,201-44,066,005-220,330,025

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