Q: What are the factor combinations of the number 553,111,063?

 A:
Positive:   1 x 55311106367 x 8255389421 x 131380319609 x 28207
Negative: -1 x -553111063-67 x -8255389-421 x -1313803-19609 x -28207


How do I find the factor combinations of the number 553,111,063?

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 553,111,063, 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.

1 553,111,063
-1 -553,111,063

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 553,111,063.

Example:
1 x 553,111,063 = 553,111,063
and
-1 x -553,111,063 = 553,111,063
Notice both answers equal 553,111,063

With that explanation out of the way, let's continue. Next, we take the number 553,111,063 and divide it by 2:

553,111,063 ÷ 2 = 276,555,531.5

If the quotient is a whole number, then 2 and 276,555,531.5 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:

1 553,111,063
-1 -553,111,063

Now, we try dividing 553,111,063 by 3:

553,111,063 ÷ 3 = 184,370,354.3333

If the quotient is a whole number, then 3 and 184,370,354.3333 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:

1 553,111,063
-1 -553,111,063

Let's try dividing by 4:

553,111,063 ÷ 4 = 138,277,765.75

If the quotient is a whole number, then 4 and 138,277,765.75 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:

1 553,111,063
-1 553,111,063
Keep dividing by the next highest number until you cannot divide anymore.

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

16742119,60928,2071,313,8038,255,389553,111,063
-1-67-421-19,609-28,207-1,313,803-8,255,389-553,111,063

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