Q: What are the factor combinations of the number 50,033,023?

 A:
Positive:   1 x 5003302317 x 294311919 x 2633317191 x 261953323 x 154901811 x 616933247 x 154093629 x 13787
Negative: -1 x -50033023-17 x -2943119-19 x -2633317-191 x -261953-323 x -154901-811 x -61693-3247 x -15409-3629 x -13787


How do I find the factor combinations of the number 50,033,023?

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 50,033,023, 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 50,033,023
-1 -50,033,023

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 50,033,023.

Example:
1 x 50,033,023 = 50,033,023
and
-1 x -50,033,023 = 50,033,023
Notice both answers equal 50,033,023

With that explanation out of the way, let's continue. Next, we take the number 50,033,023 and divide it by 2:

50,033,023 ÷ 2 = 25,016,511.5

If the quotient is a whole number, then 2 and 25,016,511.5 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 50,033,023
-1 -50,033,023

Now, we try dividing 50,033,023 by 3:

50,033,023 ÷ 3 = 16,677,674.3333

If the quotient is a whole number, then 3 and 16,677,674.3333 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 50,033,023
-1 -50,033,023

Let's try dividing by 4:

50,033,023 ÷ 4 = 12,508,255.75

If the quotient is a whole number, then 4 and 12,508,255.75 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 50,033,023
-1 50,033,023
Keep dividing by the next highest number until you cannot divide anymore.

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

117191913238113,2473,62913,78715,40961,693154,901261,9532,633,3172,943,11950,033,023
-1-17-19-191-323-811-3,247-3,629-13,787-15,409-61,693-154,901-261,953-2,633,317-2,943,119-50,033,023

More Examples

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