Q: What are the factor combinations of the number 550,332,155?

 A:
Positive:   1 x 5503321555 x 11006643123 x 23927485115 x 4785497239 x 23026451195 x 4605295497 x 10011520023 x 27485
Negative: -1 x -550332155-5 x -110066431-23 x -23927485-115 x -4785497-239 x -2302645-1195 x -460529-5497 x -100115-20023 x -27485


How do I find the factor combinations of the number 550,332,155?

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 550,332,155, 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.

1 550,332,155
-1 -550,332,155

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 550,332,155.

Example:
1 x 550,332,155 = 550,332,155
and
-1 x -550,332,155 = 550,332,155
Notice both answers equal 550,332,155

With that explanation out of the way, let's continue. Next, we take the number 550,332,155 and divide it by 2:

550,332,155 ÷ 2 = 275,166,077.5

If the quotient is a whole number, then 2 and 275,166,077.5 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:

1 550,332,155
-1 -550,332,155

Now, we try dividing 550,332,155 by 3:

550,332,155 ÷ 3 = 183,444,051.6667

If the quotient is a whole number, then 3 and 183,444,051.6667 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:

1 550,332,155
-1 -550,332,155

Let's try dividing by 4:

550,332,155 ÷ 4 = 137,583,038.75

If the quotient is a whole number, then 4 and 137,583,038.75 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:

1 550,332,155
-1 550,332,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152391,1955,49720,02327,485100,115460,5292,302,6454,785,49723,927,485110,066,431550,332,155
-1-5-23-115-239-1,195-5,497-20,023-27,485-100,115-460,529-2,302,645-4,785,497-23,927,485-110,066,431-550,332,155

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