Q: What are the factor combinations of the number 551,756,849?

 A:
Positive:   1 x 5517568497 x 7882240759 x 935181173 x 7558313413 x 1335973511 x 10797594307 x 12810718301 x 30149
Negative: -1 x -551756849-7 x -78822407-59 x -9351811-73 x -7558313-413 x -1335973-511 x -1079759-4307 x -128107-18301 x -30149


How do I find the factor combinations of the number 551,756,849?

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 551,756,849, 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.

1 551,756,849
-1 -551,756,849

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 551,756,849.

Example:
1 x 551,756,849 = 551,756,849
and
-1 x -551,756,849 = 551,756,849
Notice both answers equal 551,756,849

With that explanation out of the way, let's continue. Next, we take the number 551,756,849 and divide it by 2:

551,756,849 ÷ 2 = 275,878,424.5

If the quotient is a whole number, then 2 and 275,878,424.5 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:

1 551,756,849
-1 -551,756,849

Now, we try dividing 551,756,849 by 3:

551,756,849 ÷ 3 = 183,918,949.6667

If the quotient is a whole number, then 3 and 183,918,949.6667 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:

1 551,756,849
-1 -551,756,849

Let's try dividing by 4:

551,756,849 ÷ 4 = 137,939,212.25

If the quotient is a whole number, then 4 and 137,939,212.25 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:

1 551,756,849
-1 551,756,849
Keep dividing by the next highest number until you cannot divide anymore.

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

1759734135114,30718,30130,149128,1071,079,7591,335,9737,558,3139,351,81178,822,407551,756,849
-1-7-59-73-413-511-4,307-18,301-30,149-128,107-1,079,759-1,335,973-7,558,313-9,351,811-78,822,407-551,756,849

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