Q: What are the factor combinations of the number 220,403,045?

 A:
Positive:   1 x 2204030455 x 4408060917 x 1296488529 x 760010585 x 2592977145 x 1520021493 x 4470652465 x 89413
Negative: -1 x -220403045-5 x -44080609-17 x -12964885-29 x -7600105-85 x -2592977-145 x -1520021-493 x -447065-2465 x -89413


How do I find the factor combinations of the number 220,403,045?

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 220,403,045, 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.

1 220,403,045
-1 -220,403,045

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 220,403,045.

Example:
1 x 220,403,045 = 220,403,045
and
-1 x -220,403,045 = 220,403,045
Notice both answers equal 220,403,045

With that explanation out of the way, let's continue. Next, we take the number 220,403,045 and divide it by 2:

220,403,045 ÷ 2 = 110,201,522.5

If the quotient is a whole number, then 2 and 110,201,522.5 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:

1 220,403,045
-1 -220,403,045

Now, we try dividing 220,403,045 by 3:

220,403,045 ÷ 3 = 73,467,681.6667

If the quotient is a whole number, then 3 and 73,467,681.6667 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:

1 220,403,045
-1 -220,403,045

Let's try dividing by 4:

220,403,045 ÷ 4 = 55,100,761.25

If the quotient is a whole number, then 4 and 55,100,761.25 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:

1 220,403,045
-1 220,403,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851454932,46589,413447,0651,520,0212,592,9777,600,10512,964,88544,080,609220,403,045
-1-5-17-29-85-145-493-2,465-89,413-447,065-1,520,021-2,592,977-7,600,105-12,964,885-44,080,609-220,403,045

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