Q: What are the factor combinations of the number 50,552,437?

 A:
Positive:   1 x 5055243713 x 3888649229 x 2207532977 x 16981
Negative: -1 x -50552437-13 x -3888649-229 x -220753-2977 x -16981


How do I find the factor combinations of the number 50,552,437?

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 50,552,437, 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 50,552,437
-1 -50,552,437

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 50,552,437.

Example:
1 x 50,552,437 = 50,552,437
and
-1 x -50,552,437 = 50,552,437
Notice both answers equal 50,552,437

With that explanation out of the way, let's continue. Next, we take the number 50,552,437 and divide it by 2:

50,552,437 ÷ 2 = 25,276,218.5

If the quotient is a whole number, then 2 and 25,276,218.5 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 50,552,437
-1 -50,552,437

Now, we try dividing 50,552,437 by 3:

50,552,437 ÷ 3 = 16,850,812.3333

If the quotient is a whole number, then 3 and 16,850,812.3333 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 50,552,437
-1 -50,552,437

Let's try dividing by 4:

50,552,437 ÷ 4 = 12,638,109.25

If the quotient is a whole number, then 4 and 12,638,109.25 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 50,552,437
-1 50,552,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1132292,97716,981220,7533,888,64950,552,437
-1-13-229-2,977-16,981-220,753-3,888,649-50,552,437

More Examples

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