Q: What are the factor combinations of the number 552,133,343?

 A:
Positive:   1 x 55213334331 x 17810753233 x 23696717223 x 76441
Negative: -1 x -552133343-31 x -17810753-233 x -2369671-7223 x -76441


How do I find the factor combinations of the number 552,133,343?

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 552,133,343, 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.

1 552,133,343
-1 -552,133,343

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 552,133,343.

Example:
1 x 552,133,343 = 552,133,343
and
-1 x -552,133,343 = 552,133,343
Notice both answers equal 552,133,343

With that explanation out of the way, let's continue. Next, we take the number 552,133,343 and divide it by 2:

552,133,343 ÷ 2 = 276,066,671.5

If the quotient is a whole number, then 2 and 276,066,671.5 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:

1 552,133,343
-1 -552,133,343

Now, we try dividing 552,133,343 by 3:

552,133,343 ÷ 3 = 184,044,447.6667

If the quotient is a whole number, then 3 and 184,044,447.6667 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:

1 552,133,343
-1 -552,133,343

Let's try dividing by 4:

552,133,343 ÷ 4 = 138,033,335.75

If the quotient is a whole number, then 4 and 138,033,335.75 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:

1 552,133,343
-1 552,133,343
Keep dividing by the next highest number until you cannot divide anymore.

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

1312337,22376,4412,369,67117,810,753552,133,343
-1-31-233-7,223-76,441-2,369,671-17,810,753-552,133,343

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