Q: What are the factor combinations of the number 220,252,025?

 A:
Positive:   1 x 2202520255 x 440504057 x 3146457523 x 957617525 x 881008135 x 6292915115 x 1915235161 x 1368025175 x 1258583575 x 383047805 x 2736054025 x 54721
Negative: -1 x -220252025-5 x -44050405-7 x -31464575-23 x -9576175-25 x -8810081-35 x -6292915-115 x -1915235-161 x -1368025-175 x -1258583-575 x -383047-805 x -273605-4025 x -54721


How do I find the factor combinations of the number 220,252,025?

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 220,252,025, 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.

1 220,252,025
-1 -220,252,025

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 220,252,025.

Example:
1 x 220,252,025 = 220,252,025
and
-1 x -220,252,025 = 220,252,025
Notice both answers equal 220,252,025

With that explanation out of the way, let's continue. Next, we take the number 220,252,025 and divide it by 2:

220,252,025 ÷ 2 = 110,126,012.5

If the quotient is a whole number, then 2 and 110,126,012.5 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:

1 220,252,025
-1 -220,252,025

Now, we try dividing 220,252,025 by 3:

220,252,025 ÷ 3 = 73,417,341.6667

If the quotient is a whole number, then 3 and 73,417,341.6667 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:

1 220,252,025
-1 -220,252,025

Let's try dividing by 4:

220,252,025 ÷ 4 = 55,063,006.25

If the quotient is a whole number, then 4 and 55,063,006.25 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:

1 220,252,025
-1 220,252,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1572325351151611755758054,02554,721273,605383,0471,258,5831,368,0251,915,2356,292,9158,810,0819,576,17531,464,57544,050,405220,252,025
-1-5-7-23-25-35-115-161-175-575-805-4,025-54,721-273,605-383,047-1,258,583-1,368,025-1,915,235-6,292,915-8,810,081-9,576,175-31,464,575-44,050,405-220,252,025

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