Q: What are the factor combinations of the number 551,213,665?

 A:
Positive:   1 x 5512136655 x 110242733607 x 9080953035 x 181619
Negative: -1 x -551213665-5 x -110242733-607 x -908095-3035 x -181619


How do I find the factor combinations of the number 551,213,665?

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 551,213,665, 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.

1 551,213,665
-1 -551,213,665

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 551,213,665.

Example:
1 x 551,213,665 = 551,213,665
and
-1 x -551,213,665 = 551,213,665
Notice both answers equal 551,213,665

With that explanation out of the way, let's continue. Next, we take the number 551,213,665 and divide it by 2:

551,213,665 ÷ 2 = 275,606,832.5

If the quotient is a whole number, then 2 and 275,606,832.5 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:

1 551,213,665
-1 -551,213,665

Now, we try dividing 551,213,665 by 3:

551,213,665 ÷ 3 = 183,737,888.3333

If the quotient is a whole number, then 3 and 183,737,888.3333 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:

1 551,213,665
-1 -551,213,665

Let's try dividing by 4:

551,213,665 ÷ 4 = 137,803,416.25

If the quotient is a whole number, then 4 and 137,803,416.25 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:

1 551,213,665
-1 551,213,665
Keep dividing by the next highest number until you cannot divide anymore.

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

156073,035181,619908,095110,242,733551,213,665
-1-5-607-3,035-181,619-908,095-110,242,733-551,213,665

More Examples

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