Q: What are the factor combinations of the number 551,566,601?

 A:
Positive:   1 x 55156660131 x 1779247153 x 10406917389 x 1417909863 x 6391271643 x 33570712059 x 4573920617 x 26753
Negative: -1 x -551566601-31 x -17792471-53 x -10406917-389 x -1417909-863 x -639127-1643 x -335707-12059 x -45739-20617 x -26753


How do I find the factor combinations of the number 551,566,601?

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 551,566,601, 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.

1 551,566,601
-1 -551,566,601

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 551,566,601.

Example:
1 x 551,566,601 = 551,566,601
and
-1 x -551,566,601 = 551,566,601
Notice both answers equal 551,566,601

With that explanation out of the way, let's continue. Next, we take the number 551,566,601 and divide it by 2:

551,566,601 ÷ 2 = 275,783,300.5

If the quotient is a whole number, then 2 and 275,783,300.5 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:

1 551,566,601
-1 -551,566,601

Now, we try dividing 551,566,601 by 3:

551,566,601 ÷ 3 = 183,855,533.6667

If the quotient is a whole number, then 3 and 183,855,533.6667 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:

1 551,566,601
-1 -551,566,601

Let's try dividing by 4:

551,566,601 ÷ 4 = 137,891,650.25

If the quotient is a whole number, then 4 and 137,891,650.25 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:

1 551,566,601
-1 551,566,601
Keep dividing by the next highest number until you cannot divide anymore.

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

131533898631,64312,05920,61726,75345,739335,707639,1271,417,90910,406,91717,792,471551,566,601
-1-31-53-389-863-1,643-12,059-20,617-26,753-45,739-335,707-639,127-1,417,909-10,406,917-17,792,471-551,566,601

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