Q: What are the factor combinations of the number 50,410,321?

 A:
Positive:   1 x 5041032113 x 387771717 x 2965313221 x 228101307 x 164203743 x 678473991 x 126315219 x 9659
Negative: -1 x -50410321-13 x -3877717-17 x -2965313-221 x -228101-307 x -164203-743 x -67847-3991 x -12631-5219 x -9659


How do I find the factor combinations of the number 50,410,321?

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 50,410,321, 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 50,410,321
-1 -50,410,321

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 50,410,321.

Example:
1 x 50,410,321 = 50,410,321
and
-1 x -50,410,321 = 50,410,321
Notice both answers equal 50,410,321

With that explanation out of the way, let's continue. Next, we take the number 50,410,321 and divide it by 2:

50,410,321 ÷ 2 = 25,205,160.5

If the quotient is a whole number, then 2 and 25,205,160.5 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 50,410,321
-1 -50,410,321

Now, we try dividing 50,410,321 by 3:

50,410,321 ÷ 3 = 16,803,440.3333

If the quotient is a whole number, then 3 and 16,803,440.3333 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 50,410,321
-1 -50,410,321

Let's try dividing by 4:

50,410,321 ÷ 4 = 12,602,580.25

If the quotient is a whole number, then 4 and 12,602,580.25 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 50,410,321
-1 50,410,321
Keep dividing by the next highest number until you cannot divide anymore.

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

113172213077433,9915,2199,65912,63167,847164,203228,1012,965,3133,877,71750,410,321
-1-13-17-221-307-743-3,991-5,219-9,659-12,631-67,847-164,203-228,101-2,965,313-3,877,717-50,410,321

More Examples

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