Q: What are the factor combinations of the number 504,455,627?

 A:
Positive:   1 x 50445562713 x 38804279229 x 2202863239 x 2110693709 x 7115032977 x 1694513107 x 1623619217 x 54731
Negative: -1 x -504455627-13 x -38804279-229 x -2202863-239 x -2110693-709 x -711503-2977 x -169451-3107 x -162361-9217 x -54731


How do I find the factor combinations of the number 504,455,627?

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 504,455,627, 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.

1 504,455,627
-1 -504,455,627

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 504,455,627.

Example:
1 x 504,455,627 = 504,455,627
and
-1 x -504,455,627 = 504,455,627
Notice both answers equal 504,455,627

With that explanation out of the way, let's continue. Next, we take the number 504,455,627 and divide it by 2:

504,455,627 ÷ 2 = 252,227,813.5

If the quotient is a whole number, then 2 and 252,227,813.5 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:

1 504,455,627
-1 -504,455,627

Now, we try dividing 504,455,627 by 3:

504,455,627 ÷ 3 = 168,151,875.6667

If the quotient is a whole number, then 3 and 168,151,875.6667 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:

1 504,455,627
-1 -504,455,627

Let's try dividing by 4:

504,455,627 ÷ 4 = 126,113,906.75

If the quotient is a whole number, then 4 and 126,113,906.75 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:

1 504,455,627
-1 504,455,627
Keep dividing by the next highest number until you cannot divide anymore.

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

1132292397092,9773,1079,21754,731162,361169,451711,5032,110,6932,202,86338,804,279504,455,627
-1-13-229-239-709-2,977-3,107-9,217-54,731-162,361-169,451-711,503-2,110,693-2,202,863-38,804,279-504,455,627

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