Q: What are the factor combinations of the number 551,314,255?

 A:
Positive:   1 x 5513142555 x 11026285123 x 23970185115 x 4794037
Negative: -1 x -551314255-5 x -110262851-23 x -23970185-115 x -4794037


How do I find the factor combinations of the number 551,314,255?

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 551,314,255, 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.

1 551,314,255
-1 -551,314,255

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 551,314,255.

Example:
1 x 551,314,255 = 551,314,255
and
-1 x -551,314,255 = 551,314,255
Notice both answers equal 551,314,255

With that explanation out of the way, let's continue. Next, we take the number 551,314,255 and divide it by 2:

551,314,255 ÷ 2 = 275,657,127.5

If the quotient is a whole number, then 2 and 275,657,127.5 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:

1 551,314,255
-1 -551,314,255

Now, we try dividing 551,314,255 by 3:

551,314,255 ÷ 3 = 183,771,418.3333

If the quotient is a whole number, then 3 and 183,771,418.3333 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:

1 551,314,255
-1 -551,314,255

Let's try dividing by 4:

551,314,255 ÷ 4 = 137,828,563.75

If the quotient is a whole number, then 4 and 137,828,563.75 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:

1 551,314,255
-1 551,314,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15231154,794,03723,970,185110,262,851551,314,255
-1-5-23-115-4,794,037-23,970,185-110,262,851-551,314,255

More Examples

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