Q: What are the factor combinations of the number 50,671,121?

 A:
Positive:   1 x 5067112141 x 1235881113 x 4484174633 x 10937
Negative: -1 x -50671121-41 x -1235881-113 x -448417-4633 x -10937


How do I find the factor combinations of the number 50,671,121?

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 50,671,121, 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 50,671,121
-1 -50,671,121

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 50,671,121.

Example:
1 x 50,671,121 = 50,671,121
and
-1 x -50,671,121 = 50,671,121
Notice both answers equal 50,671,121

With that explanation out of the way, let's continue. Next, we take the number 50,671,121 and divide it by 2:

50,671,121 ÷ 2 = 25,335,560.5

If the quotient is a whole number, then 2 and 25,335,560.5 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 50,671,121
-1 -50,671,121

Now, we try dividing 50,671,121 by 3:

50,671,121 ÷ 3 = 16,890,373.6667

If the quotient is a whole number, then 3 and 16,890,373.6667 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 50,671,121
-1 -50,671,121

Let's try dividing by 4:

50,671,121 ÷ 4 = 12,667,780.25

If the quotient is a whole number, then 4 and 12,667,780.25 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 50,671,121
-1 50,671,121
Keep dividing by the next highest number until you cannot divide anymore.

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

1411134,63310,937448,4171,235,88150,671,121
-1-41-113-4,633-10,937-448,417-1,235,881-50,671,121

More Examples

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