Q: What are the factor combinations of the number 50,421,833?

 A:
Positive:   1 x 504218337 x 720311911 x 458380349 x 102901777 x 654829139 x 362747539 x 93547673 x 74921973 x 518211529 x 329774711 x 107036811 x 7403
Negative: -1 x -50421833-7 x -7203119-11 x -4583803-49 x -1029017-77 x -654829-139 x -362747-539 x -93547-673 x -74921-973 x -51821-1529 x -32977-4711 x -10703-6811 x -7403


How do I find the factor combinations of the number 50,421,833?

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 50,421,833, 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 50,421,833
-1 -50,421,833

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 50,421,833.

Example:
1 x 50,421,833 = 50,421,833
and
-1 x -50,421,833 = 50,421,833
Notice both answers equal 50,421,833

With that explanation out of the way, let's continue. Next, we take the number 50,421,833 and divide it by 2:

50,421,833 ÷ 2 = 25,210,916.5

If the quotient is a whole number, then 2 and 25,210,916.5 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 50,421,833
-1 -50,421,833

Now, we try dividing 50,421,833 by 3:

50,421,833 ÷ 3 = 16,807,277.6667

If the quotient is a whole number, then 3 and 16,807,277.6667 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 50,421,833
-1 -50,421,833

Let's try dividing by 4:

50,421,833 ÷ 4 = 12,605,458.25

If the quotient is a whole number, then 4 and 12,605,458.25 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 50,421,833
-1 50,421,833
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771395396739731,5294,7116,8117,40310,70332,97751,82174,92193,547362,747654,8291,029,0174,583,8037,203,11950,421,833
-1-7-11-49-77-139-539-673-973-1,529-4,711-6,811-7,403-10,703-32,977-51,821-74,921-93,547-362,747-654,829-1,029,017-4,583,803-7,203,119-50,421,833

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