Q: What are the factor combinations of the number 504,637,105?

 A:
Positive:   1 x 5046371055 x 1009274217 x 7209101535 x 144182031039 x 4856955195 x 971397273 x 6938513877 x 36365
Negative: -1 x -504637105-5 x -100927421-7 x -72091015-35 x -14418203-1039 x -485695-5195 x -97139-7273 x -69385-13877 x -36365


How do I find the factor combinations of the number 504,637,105?

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 504,637,105, 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.

1 504,637,105
-1 -504,637,105

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 504,637,105.

Example:
1 x 504,637,105 = 504,637,105
and
-1 x -504,637,105 = 504,637,105
Notice both answers equal 504,637,105

With that explanation out of the way, let's continue. Next, we take the number 504,637,105 and divide it by 2:

504,637,105 ÷ 2 = 252,318,552.5

If the quotient is a whole number, then 2 and 252,318,552.5 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:

1 504,637,105
-1 -504,637,105

Now, we try dividing 504,637,105 by 3:

504,637,105 ÷ 3 = 168,212,368.3333

If the quotient is a whole number, then 3 and 168,212,368.3333 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:

1 504,637,105
-1 -504,637,105

Let's try dividing by 4:

504,637,105 ÷ 4 = 126,159,276.25

If the quotient is a whole number, then 4 and 126,159,276.25 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:

1 504,637,105
-1 504,637,105
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,0395,1957,27313,87736,36569,38597,139485,69514,418,20372,091,015100,927,421504,637,105
-1-5-7-35-1,039-5,195-7,273-13,877-36,365-69,385-97,139-485,695-14,418,203-72,091,015-100,927,421-504,637,105

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