Q: What are the factor combinations of the number 504,314,995?

 A:
Positive:   1 x 5043149955 x 10086299937 x 13630135185 x 2726027733 x 6880153665 x 1376033719 x 13560518595 x 27121
Negative: -1 x -504314995-5 x -100862999-37 x -13630135-185 x -2726027-733 x -688015-3665 x -137603-3719 x -135605-18595 x -27121


How do I find the factor combinations of the number 504,314,995?

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 504,314,995, 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.

1 504,314,995
-1 -504,314,995

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 504,314,995.

Example:
1 x 504,314,995 = 504,314,995
and
-1 x -504,314,995 = 504,314,995
Notice both answers equal 504,314,995

With that explanation out of the way, let's continue. Next, we take the number 504,314,995 and divide it by 2:

504,314,995 ÷ 2 = 252,157,497.5

If the quotient is a whole number, then 2 and 252,157,497.5 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:

1 504,314,995
-1 -504,314,995

Now, we try dividing 504,314,995 by 3:

504,314,995 ÷ 3 = 168,104,998.3333

If the quotient is a whole number, then 3 and 168,104,998.3333 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:

1 504,314,995
-1 -504,314,995

Let's try dividing by 4:

504,314,995 ÷ 4 = 126,078,748.75

If the quotient is a whole number, then 4 and 126,078,748.75 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:

1 504,314,995
-1 504,314,995
Keep dividing by the next highest number until you cannot divide anymore.

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

15371857333,6653,71918,59527,121135,605137,603688,0152,726,02713,630,135100,862,999504,314,995
-1-5-37-185-733-3,665-3,719-18,595-27,121-135,605-137,603-688,015-2,726,027-13,630,135-100,862,999-504,314,995

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