Q: What are the factor combinations of the number 552,033,505?

 A:
Positive:   1 x 5520335055 x 11040670119 x 2905439595 x 5810879631 x 8748553155 x 1749719209 x 5994511989 x 46045
Negative: -1 x -552033505-5 x -110406701-19 x -29054395-95 x -5810879-631 x -874855-3155 x -174971-9209 x -59945-11989 x -46045


How do I find the factor combinations of the number 552,033,505?

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 552,033,505, 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.

1 552,033,505
-1 -552,033,505

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 552,033,505.

Example:
1 x 552,033,505 = 552,033,505
and
-1 x -552,033,505 = 552,033,505
Notice both answers equal 552,033,505

With that explanation out of the way, let's continue. Next, we take the number 552,033,505 and divide it by 2:

552,033,505 ÷ 2 = 276,016,752.5

If the quotient is a whole number, then 2 and 276,016,752.5 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:

1 552,033,505
-1 -552,033,505

Now, we try dividing 552,033,505 by 3:

552,033,505 ÷ 3 = 184,011,168.3333

If the quotient is a whole number, then 3 and 184,011,168.3333 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:

1 552,033,505
-1 -552,033,505

Let's try dividing by 4:

552,033,505 ÷ 4 = 138,008,376.25

If the quotient is a whole number, then 4 and 138,008,376.25 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:

1 552,033,505
-1 552,033,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1519956313,1559,20911,98946,04559,945174,971874,8555,810,87929,054,395110,406,701552,033,505
-1-5-19-95-631-3,155-9,209-11,989-46,045-59,945-174,971-874,855-5,810,879-29,054,395-110,406,701-552,033,505

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