Q: What are the factor combinations of the number 551,304,305?

 A:
Positive:   1 x 5513043055 x 11026086117 x 3242966585 x 6485933163 x 3382235815 x 6764472771 x 19895513855 x 39791
Negative: -1 x -551304305-5 x -110260861-17 x -32429665-85 x -6485933-163 x -3382235-815 x -676447-2771 x -198955-13855 x -39791


How do I find the factor combinations of the number 551,304,305?

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 551,304,305, 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.

1 551,304,305
-1 -551,304,305

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 551,304,305.

Example:
1 x 551,304,305 = 551,304,305
and
-1 x -551,304,305 = 551,304,305
Notice both answers equal 551,304,305

With that explanation out of the way, let's continue. Next, we take the number 551,304,305 and divide it by 2:

551,304,305 ÷ 2 = 275,652,152.5

If the quotient is a whole number, then 2 and 275,652,152.5 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:

1 551,304,305
-1 -551,304,305

Now, we try dividing 551,304,305 by 3:

551,304,305 ÷ 3 = 183,768,101.6667

If the quotient is a whole number, then 3 and 183,768,101.6667 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:

1 551,304,305
-1 -551,304,305

Let's try dividing by 4:

551,304,305 ÷ 4 = 137,826,076.25

If the quotient is a whole number, then 4 and 137,826,076.25 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:

1 551,304,305
-1 551,304,305
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851638152,77113,85539,791198,955676,4473,382,2356,485,93332,429,665110,260,861551,304,305
-1-5-17-85-163-815-2,771-13,855-39,791-198,955-676,447-3,382,235-6,485,933-32,429,665-110,260,861-551,304,305

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