Q: What are the factor combinations of the number 553,322,063?

 A:
Positive:   1 x 5533220637 x 7904600923 x 2405748149 x 11292287161 x 34367831127 x 490969
Negative: -1 x -553322063-7 x -79046009-23 x -24057481-49 x -11292287-161 x -3436783-1127 x -490969


How do I find the factor combinations of the number 553,322,063?

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 553,322,063, 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.

1 553,322,063
-1 -553,322,063

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 553,322,063.

Example:
1 x 553,322,063 = 553,322,063
and
-1 x -553,322,063 = 553,322,063
Notice both answers equal 553,322,063

With that explanation out of the way, let's continue. Next, we take the number 553,322,063 and divide it by 2:

553,322,063 ÷ 2 = 276,661,031.5

If the quotient is a whole number, then 2 and 276,661,031.5 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:

1 553,322,063
-1 -553,322,063

Now, we try dividing 553,322,063 by 3:

553,322,063 ÷ 3 = 184,440,687.6667

If the quotient is a whole number, then 3 and 184,440,687.6667 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:

1 553,322,063
-1 -553,322,063

Let's try dividing by 4:

553,322,063 ÷ 4 = 138,330,515.75

If the quotient is a whole number, then 4 and 138,330,515.75 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:

1 553,322,063
-1 553,322,063
Keep dividing by the next highest number until you cannot divide anymore.

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

1723491611,127490,9693,436,78311,292,28724,057,48179,046,009553,322,063
-1-7-23-49-161-1,127-490,969-3,436,783-11,292,287-24,057,481-79,046,009-553,322,063

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