Q: What are the factor combinations of the number 522,263,147?

 A:
Positive:   1 x 5222631477 x 74609021241 x 2167067353 x 1479499877 x 5955111687 x 3095812471 x 2113576139 x 85073
Negative: -1 x -522263147-7 x -74609021-241 x -2167067-353 x -1479499-877 x -595511-1687 x -309581-2471 x -211357-6139 x -85073


How do I find the factor combinations of the number 522,263,147?

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 522,263,147, 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.

1 522,263,147
-1 -522,263,147

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 522,263,147.

Example:
1 x 522,263,147 = 522,263,147
and
-1 x -522,263,147 = 522,263,147
Notice both answers equal 522,263,147

With that explanation out of the way, let's continue. Next, we take the number 522,263,147 and divide it by 2:

522,263,147 ÷ 2 = 261,131,573.5

If the quotient is a whole number, then 2 and 261,131,573.5 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:

1 522,263,147
-1 -522,263,147

Now, we try dividing 522,263,147 by 3:

522,263,147 ÷ 3 = 174,087,715.6667

If the quotient is a whole number, then 3 and 174,087,715.6667 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:

1 522,263,147
-1 -522,263,147

Let's try dividing by 4:

522,263,147 ÷ 4 = 130,565,786.75

If the quotient is a whole number, then 4 and 130,565,786.75 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:

1 522,263,147
-1 522,263,147
Keep dividing by the next highest number until you cannot divide anymore.

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

172413538771,6872,4716,13985,073211,357309,581595,5111,479,4992,167,06774,609,021522,263,147
-1-7-241-353-877-1,687-2,471-6,139-85,073-211,357-309,581-595,511-1,479,499-2,167,067-74,609,021-522,263,147

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