Q: What are the factor combinations of the number 50,455,013?

 A:
Positive:   1 x 504550137 x 720785919 x 265552737 x 1363649133 x 379361259 x 194807703 x 717714921 x 10253
Negative: -1 x -50455013-7 x -7207859-19 x -2655527-37 x -1363649-133 x -379361-259 x -194807-703 x -71771-4921 x -10253


How do I find the factor combinations of the number 50,455,013?

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 50,455,013, 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 50,455,013
-1 -50,455,013

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 50,455,013.

Example:
1 x 50,455,013 = 50,455,013
and
-1 x -50,455,013 = 50,455,013
Notice both answers equal 50,455,013

With that explanation out of the way, let's continue. Next, we take the number 50,455,013 and divide it by 2:

50,455,013 ÷ 2 = 25,227,506.5

If the quotient is a whole number, then 2 and 25,227,506.5 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 50,455,013
-1 -50,455,013

Now, we try dividing 50,455,013 by 3:

50,455,013 ÷ 3 = 16,818,337.6667

If the quotient is a whole number, then 3 and 16,818,337.6667 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 50,455,013
-1 -50,455,013

Let's try dividing by 4:

50,455,013 ÷ 4 = 12,613,753.25

If the quotient is a whole number, then 4 and 12,613,753.25 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 50,455,013
-1 50,455,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1719371332597034,92110,25371,771194,807379,3611,363,6492,655,5277,207,85950,455,013
-1-7-19-37-133-259-703-4,921-10,253-71,771-194,807-379,361-1,363,649-2,655,527-7,207,859-50,455,013

More Examples

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