Q: What are the factor combinations of the number 5,012,501?

 A:
Positive:   1 x 501250113 x 38557717 x 29485337 x 135473221 x 22681481 x 10421613 x 8177629 x 7969
Negative: -1 x -5012501-13 x -385577-17 x -294853-37 x -135473-221 x -22681-481 x -10421-613 x -8177-629 x -7969


How do I find the factor combinations of the number 5,012,501?

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 5,012,501, 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 5,012,501
-1 -5,012,501

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 5,012,501.

Example:
1 x 5,012,501 = 5,012,501
and
-1 x -5,012,501 = 5,012,501
Notice both answers equal 5,012,501

With that explanation out of the way, let's continue. Next, we take the number 5,012,501 and divide it by 2:

5,012,501 ÷ 2 = 2,506,250.5

If the quotient is a whole number, then 2 and 2,506,250.5 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 5,012,501
-1 -5,012,501

Now, we try dividing 5,012,501 by 3:

5,012,501 ÷ 3 = 1,670,833.6667

If the quotient is a whole number, then 3 and 1,670,833.6667 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 5,012,501
-1 -5,012,501

Let's try dividing by 4:

5,012,501 ÷ 4 = 1,253,125.25

If the quotient is a whole number, then 4 and 1,253,125.25 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 5,012,501
-1 5,012,501
Keep dividing by the next highest number until you cannot divide anymore.

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

11317372214816136297,9698,17710,42122,681135,473294,853385,5775,012,501
-1-13-17-37-221-481-613-629-7,969-8,177-10,421-22,681-135,473-294,853-385,577-5,012,501

More Examples

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