Q: What are the factor combinations of the number 50,967,355?

 A:
Positive:   1 x 509673555 x 1019347129 x 1757495145 x 351499313 x 1628351123 x 453851565 x 325675615 x 9077
Negative: -1 x -50967355-5 x -10193471-29 x -1757495-145 x -351499-313 x -162835-1123 x -45385-1565 x -32567-5615 x -9077


How do I find the factor combinations of the number 50,967,355?

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 50,967,355, 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 50,967,355
-1 -50,967,355

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 50,967,355.

Example:
1 x 50,967,355 = 50,967,355
and
-1 x -50,967,355 = 50,967,355
Notice both answers equal 50,967,355

With that explanation out of the way, let's continue. Next, we take the number 50,967,355 and divide it by 2:

50,967,355 ÷ 2 = 25,483,677.5

If the quotient is a whole number, then 2 and 25,483,677.5 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 50,967,355
-1 -50,967,355

Now, we try dividing 50,967,355 by 3:

50,967,355 ÷ 3 = 16,989,118.3333

If the quotient is a whole number, then 3 and 16,989,118.3333 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 50,967,355
-1 -50,967,355

Let's try dividing by 4:

50,967,355 ÷ 4 = 12,741,838.75

If the quotient is a whole number, then 4 and 12,741,838.75 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 50,967,355
-1 50,967,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15291453131,1231,5655,6159,07732,56745,385162,835351,4991,757,49510,193,47150,967,355
-1-5-29-145-313-1,123-1,565-5,615-9,077-32,567-45,385-162,835-351,499-1,757,495-10,193,471-50,967,355

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