Q: What are the factor combinations of the number 22,240,225?

 A:
Positive:   1 x 222402255 x 44480457 x 317717525 x 88960935 x 635435167 x 133175175 x 127087761 x 29225835 x 266351169 x 190253805 x 58454175 x 5327
Negative: -1 x -22240225-5 x -4448045-7 x -3177175-25 x -889609-35 x -635435-167 x -133175-175 x -127087-761 x -29225-835 x -26635-1169 x -19025-3805 x -5845-4175 x -5327


How do I find the factor combinations of the number 22,240,225?

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 22,240,225, 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 22,240,225
-1 -22,240,225

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 22,240,225.

Example:
1 x 22,240,225 = 22,240,225
and
-1 x -22,240,225 = 22,240,225
Notice both answers equal 22,240,225

With that explanation out of the way, let's continue. Next, we take the number 22,240,225 and divide it by 2:

22,240,225 ÷ 2 = 11,120,112.5

If the quotient is a whole number, then 2 and 11,120,112.5 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 22,240,225
-1 -22,240,225

Now, we try dividing 22,240,225 by 3:

22,240,225 ÷ 3 = 7,413,408.3333

If the quotient is a whole number, then 3 and 7,413,408.3333 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 22,240,225
-1 -22,240,225

Let's try dividing by 4:

22,240,225 ÷ 4 = 5,560,056.25

If the quotient is a whole number, then 4 and 5,560,056.25 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 22,240,225
-1 22,240,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351671757618351,1693,8054,1755,3275,84519,02526,63529,225127,087133,175635,435889,6093,177,1754,448,04522,240,225
-1-5-7-25-35-167-175-761-835-1,169-3,805-4,175-5,327-5,845-19,025-26,635-29,225-127,087-133,175-635,435-889,609-3,177,175-4,448,045-22,240,225

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