Q: What are the factor combinations of the number 50,172,703?

 A:
Positive:   1 x 501727037 x 716752937 x 1356019259 x 193717307 x 163429631 x 795132149 x 233474417 x 11359
Negative: -1 x -50172703-7 x -7167529-37 x -1356019-259 x -193717-307 x -163429-631 x -79513-2149 x -23347-4417 x -11359


How do I find the factor combinations of the number 50,172,703?

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 50,172,703, 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 50,172,703
-1 -50,172,703

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 50,172,703.

Example:
1 x 50,172,703 = 50,172,703
and
-1 x -50,172,703 = 50,172,703
Notice both answers equal 50,172,703

With that explanation out of the way, let's continue. Next, we take the number 50,172,703 and divide it by 2:

50,172,703 ÷ 2 = 25,086,351.5

If the quotient is a whole number, then 2 and 25,086,351.5 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 50,172,703
-1 -50,172,703

Now, we try dividing 50,172,703 by 3:

50,172,703 ÷ 3 = 16,724,234.3333

If the quotient is a whole number, then 3 and 16,724,234.3333 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 50,172,703
-1 -50,172,703

Let's try dividing by 4:

50,172,703 ÷ 4 = 12,543,175.75

If the quotient is a whole number, then 4 and 12,543,175.75 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 50,172,703
-1 50,172,703
Keep dividing by the next highest number until you cannot divide anymore.

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

17372593076312,1494,41711,35923,34779,513163,429193,7171,356,0197,167,52950,172,703
-1-7-37-259-307-631-2,149-4,417-11,359-23,347-79,513-163,429-193,717-1,356,019-7,167,529-50,172,703

More Examples

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