Q: What are the factor combinations of the number 550,530,161?

 A:
Positive:   1 x 55053016143 x 12803027227 x 24252439761 x 56401
Negative: -1 x -550530161-43 x -12803027-227 x -2425243-9761 x -56401


How do I find the factor combinations of the number 550,530,161?

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 550,530,161, 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.

1 550,530,161
-1 -550,530,161

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 550,530,161.

Example:
1 x 550,530,161 = 550,530,161
and
-1 x -550,530,161 = 550,530,161
Notice both answers equal 550,530,161

With that explanation out of the way, let's continue. Next, we take the number 550,530,161 and divide it by 2:

550,530,161 ÷ 2 = 275,265,080.5

If the quotient is a whole number, then 2 and 275,265,080.5 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:

1 550,530,161
-1 -550,530,161

Now, we try dividing 550,530,161 by 3:

550,530,161 ÷ 3 = 183,510,053.6667

If the quotient is a whole number, then 3 and 183,510,053.6667 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:

1 550,530,161
-1 -550,530,161

Let's try dividing by 4:

550,530,161 ÷ 4 = 137,632,540.25

If the quotient is a whole number, then 4 and 137,632,540.25 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:

1 550,530,161
-1 550,530,161
Keep dividing by the next highest number until you cannot divide anymore.

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

1432279,76156,4012,425,24312,803,027550,530,161
-1-43-227-9,761-56,401-2,425,243-12,803,027-550,530,161

More Examples

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