Q: What are the factor combinations of the number 552,885,809?

 A:
Positive:   1 x 5528858097 x 7898368767 x 8252027469 x 1178861953 x 5801531237 x 4469576671 x 828798659 x 63851
Negative: -1 x -552885809-7 x -78983687-67 x -8252027-469 x -1178861-953 x -580153-1237 x -446957-6671 x -82879-8659 x -63851


How do I find the factor combinations of the number 552,885,809?

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 552,885,809, 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.

1 552,885,809
-1 -552,885,809

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 552,885,809.

Example:
1 x 552,885,809 = 552,885,809
and
-1 x -552,885,809 = 552,885,809
Notice both answers equal 552,885,809

With that explanation out of the way, let's continue. Next, we take the number 552,885,809 and divide it by 2:

552,885,809 ÷ 2 = 276,442,904.5

If the quotient is a whole number, then 2 and 276,442,904.5 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:

1 552,885,809
-1 -552,885,809

Now, we try dividing 552,885,809 by 3:

552,885,809 ÷ 3 = 184,295,269.6667

If the quotient is a whole number, then 3 and 184,295,269.6667 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:

1 552,885,809
-1 -552,885,809

Let's try dividing by 4:

552,885,809 ÷ 4 = 138,221,452.25

If the quotient is a whole number, then 4 and 138,221,452.25 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:

1 552,885,809
-1 552,885,809
Keep dividing by the next highest number until you cannot divide anymore.

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

17674699531,2376,6718,65963,85182,879446,957580,1531,178,8618,252,02778,983,687552,885,809
-1-7-67-469-953-1,237-6,671-8,659-63,851-82,879-446,957-580,153-1,178,861-8,252,027-78,983,687-552,885,809

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