Q: What are the factor combinations of the number 551,313,635?

 A:
Positive:   1 x 5513136355 x 11026272729 x 19010815145 x 3802163353 x 15617951765 x 31235910237 x 5385510771 x 51185
Negative: -1 x -551313635-5 x -110262727-29 x -19010815-145 x -3802163-353 x -1561795-1765 x -312359-10237 x -53855-10771 x -51185


How do I find the factor combinations of the number 551,313,635?

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 551,313,635, 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.

1 551,313,635
-1 -551,313,635

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 551,313,635.

Example:
1 x 551,313,635 = 551,313,635
and
-1 x -551,313,635 = 551,313,635
Notice both answers equal 551,313,635

With that explanation out of the way, let's continue. Next, we take the number 551,313,635 and divide it by 2:

551,313,635 ÷ 2 = 275,656,817.5

If the quotient is a whole number, then 2 and 275,656,817.5 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:

1 551,313,635
-1 -551,313,635

Now, we try dividing 551,313,635 by 3:

551,313,635 ÷ 3 = 183,771,211.6667

If the quotient is a whole number, then 3 and 183,771,211.6667 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:

1 551,313,635
-1 -551,313,635

Let's try dividing by 4:

551,313,635 ÷ 4 = 137,828,408.75

If the quotient is a whole number, then 4 and 137,828,408.75 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:

1 551,313,635
-1 551,313,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15291453531,76510,23710,77151,18553,855312,3591,561,7953,802,16319,010,815110,262,727551,313,635
-1-5-29-145-353-1,765-10,237-10,771-51,185-53,855-312,359-1,561,795-3,802,163-19,010,815-110,262,727-551,313,635

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