Q: What are the factor combinations of the number 522,450,421?

 A:
Positive:   1 x 52245042161 x 8564761193 x 2706997199 x 2625379223 x 234282711773 x 4437712139 x 4303913603 x 38407
Negative: -1 x -522450421-61 x -8564761-193 x -2706997-199 x -2625379-223 x -2342827-11773 x -44377-12139 x -43039-13603 x -38407


How do I find the factor combinations of the number 522,450,421?

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 522,450,421, 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.

1 522,450,421
-1 -522,450,421

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 522,450,421.

Example:
1 x 522,450,421 = 522,450,421
and
-1 x -522,450,421 = 522,450,421
Notice both answers equal 522,450,421

With that explanation out of the way, let's continue. Next, we take the number 522,450,421 and divide it by 2:

522,450,421 ÷ 2 = 261,225,210.5

If the quotient is a whole number, then 2 and 261,225,210.5 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:

1 522,450,421
-1 -522,450,421

Now, we try dividing 522,450,421 by 3:

522,450,421 ÷ 3 = 174,150,140.3333

If the quotient is a whole number, then 3 and 174,150,140.3333 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:

1 522,450,421
-1 -522,450,421

Let's try dividing by 4:

522,450,421 ÷ 4 = 130,612,605.25

If the quotient is a whole number, then 4 and 130,612,605.25 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:

1 522,450,421
-1 522,450,421
Keep dividing by the next highest number until you cannot divide anymore.

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

16119319922311,77312,13913,60338,40743,03944,3772,342,8272,625,3792,706,9978,564,761522,450,421
-1-61-193-199-223-11,773-12,139-13,603-38,407-43,039-44,377-2,342,827-2,625,379-2,706,997-8,564,761-522,450,421

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