Q: What are the factor combinations of the number 552,558,515?

 A:
Positive:   1 x 5525585155 x 1105117033433 x 16095517165 x 32191
Negative: -1 x -552558515-5 x -110511703-3433 x -160955-17165 x -32191


How do I find the factor combinations of the number 552,558,515?

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 552,558,515, 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.

1 552,558,515
-1 -552,558,515

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 552,558,515.

Example:
1 x 552,558,515 = 552,558,515
and
-1 x -552,558,515 = 552,558,515
Notice both answers equal 552,558,515

With that explanation out of the way, let's continue. Next, we take the number 552,558,515 and divide it by 2:

552,558,515 ÷ 2 = 276,279,257.5

If the quotient is a whole number, then 2 and 276,279,257.5 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:

1 552,558,515
-1 -552,558,515

Now, we try dividing 552,558,515 by 3:

552,558,515 ÷ 3 = 184,186,171.6667

If the quotient is a whole number, then 3 and 184,186,171.6667 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:

1 552,558,515
-1 -552,558,515

Let's try dividing by 4:

552,558,515 ÷ 4 = 138,139,628.75

If the quotient is a whole number, then 4 and 138,139,628.75 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:

1 552,558,515
-1 552,558,515
Keep dividing by the next highest number until you cannot divide anymore.

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

153,43317,16532,191160,955110,511,703552,558,515
-1-5-3,433-17,165-32,191-160,955-110,511,703-552,558,515

More Examples

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