Q: What are the factor combinations of the number 522,506,255?

 A:
Positive:   1 x 5225062555 x 10450125141 x 12744055205 x 2548811739 x 7070453449 x 1514953695 x 14140917245 x 30299
Negative: -1 x -522506255-5 x -104501251-41 x -12744055-205 x -2548811-739 x -707045-3449 x -151495-3695 x -141409-17245 x -30299


How do I find the factor combinations of the number 522,506,255?

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 522,506,255, 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.

1 522,506,255
-1 -522,506,255

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 522,506,255.

Example:
1 x 522,506,255 = 522,506,255
and
-1 x -522,506,255 = 522,506,255
Notice both answers equal 522,506,255

With that explanation out of the way, let's continue. Next, we take the number 522,506,255 and divide it by 2:

522,506,255 ÷ 2 = 261,253,127.5

If the quotient is a whole number, then 2 and 261,253,127.5 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:

1 522,506,255
-1 -522,506,255

Now, we try dividing 522,506,255 by 3:

522,506,255 ÷ 3 = 174,168,751.6667

If the quotient is a whole number, then 3 and 174,168,751.6667 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:

1 522,506,255
-1 -522,506,255

Let's try dividing by 4:

522,506,255 ÷ 4 = 130,626,563.75

If the quotient is a whole number, then 4 and 130,626,563.75 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:

1 522,506,255
-1 522,506,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15412057393,4493,69517,24530,299141,409151,495707,0452,548,81112,744,055104,501,251522,506,255
-1-5-41-205-739-3,449-3,695-17,245-30,299-141,409-151,495-707,045-2,548,811-12,744,055-104,501,251-522,506,255

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