Q: What are the factor combinations of the number 552,314,011?

 A:
Positive:   1 x 55231401131 x 178165813547 x 1557135023 x 109957
Negative: -1 x -552314011-31 x -17816581-3547 x -155713-5023 x -109957


How do I find the factor combinations of the number 552,314,011?

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 552,314,011, 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.

1 552,314,011
-1 -552,314,011

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 552,314,011.

Example:
1 x 552,314,011 = 552,314,011
and
-1 x -552,314,011 = 552,314,011
Notice both answers equal 552,314,011

With that explanation out of the way, let's continue. Next, we take the number 552,314,011 and divide it by 2:

552,314,011 ÷ 2 = 276,157,005.5

If the quotient is a whole number, then 2 and 276,157,005.5 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:

1 552,314,011
-1 -552,314,011

Now, we try dividing 552,314,011 by 3:

552,314,011 ÷ 3 = 184,104,670.3333

If the quotient is a whole number, then 3 and 184,104,670.3333 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:

1 552,314,011
-1 -552,314,011

Let's try dividing by 4:

552,314,011 ÷ 4 = 138,078,502.75

If the quotient is a whole number, then 4 and 138,078,502.75 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:

1 552,314,011
-1 552,314,011
Keep dividing by the next highest number until you cannot divide anymore.

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

1313,5475,023109,957155,71317,816,581552,314,011
-1-31-3,547-5,023-109,957-155,713-17,816,581-552,314,011

More Examples

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