Q: What are the factor combinations of the number 50,375,023?

 A:
Positive:   1 x 5037502319 x 265131747 x 1071809361 x 139543893 x 564112969 x 16967
Negative: -1 x -50375023-19 x -2651317-47 x -1071809-361 x -139543-893 x -56411-2969 x -16967


How do I find the factor combinations of the number 50,375,023?

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 50,375,023, 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 50,375,023
-1 -50,375,023

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 50,375,023.

Example:
1 x 50,375,023 = 50,375,023
and
-1 x -50,375,023 = 50,375,023
Notice both answers equal 50,375,023

With that explanation out of the way, let's continue. Next, we take the number 50,375,023 and divide it by 2:

50,375,023 ÷ 2 = 25,187,511.5

If the quotient is a whole number, then 2 and 25,187,511.5 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 50,375,023
-1 -50,375,023

Now, we try dividing 50,375,023 by 3:

50,375,023 ÷ 3 = 16,791,674.3333

If the quotient is a whole number, then 3 and 16,791,674.3333 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 50,375,023
-1 -50,375,023

Let's try dividing by 4:

50,375,023 ÷ 4 = 12,593,755.75

If the quotient is a whole number, then 4 and 12,593,755.75 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 50,375,023
-1 50,375,023
Keep dividing by the next highest number until you cannot divide anymore.

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

119473618932,96916,96756,411139,5431,071,8092,651,31750,375,023
-1-19-47-361-893-2,969-16,967-56,411-139,543-1,071,809-2,651,317-50,375,023

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 50,375,023:


Ask a Question