Q: What are the factor combinations of the number 550,453,115?

 A:
Positive:   1 x 5504531155 x 11009062317 x 3237959585 x 6475919103 x 5344205515 x 10688411751 x 3143658755 x 62873
Negative: -1 x -550453115-5 x -110090623-17 x -32379595-85 x -6475919-103 x -5344205-515 x -1068841-1751 x -314365-8755 x -62873


How do I find the factor combinations of the number 550,453,115?

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 550,453,115, 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.

1 550,453,115
-1 -550,453,115

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 550,453,115.

Example:
1 x 550,453,115 = 550,453,115
and
-1 x -550,453,115 = 550,453,115
Notice both answers equal 550,453,115

With that explanation out of the way, let's continue. Next, we take the number 550,453,115 and divide it by 2:

550,453,115 ÷ 2 = 275,226,557.5

If the quotient is a whole number, then 2 and 275,226,557.5 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:

1 550,453,115
-1 -550,453,115

Now, we try dividing 550,453,115 by 3:

550,453,115 ÷ 3 = 183,484,371.6667

If the quotient is a whole number, then 3 and 183,484,371.6667 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:

1 550,453,115
-1 -550,453,115

Let's try dividing by 4:

550,453,115 ÷ 4 = 137,613,278.75

If the quotient is a whole number, then 4 and 137,613,278.75 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:

1 550,453,115
-1 550,453,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851035151,7518,75562,873314,3651,068,8415,344,2056,475,91932,379,595110,090,623550,453,115
-1-5-17-85-103-515-1,751-8,755-62,873-314,365-1,068,841-5,344,205-6,475,919-32,379,595-110,090,623-550,453,115

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