Q: What are the factor combinations of the number 50,685,031?

 A:
Positive:   1 x 5068503123 x 220369731 x 163500167 x 756493713 x 710871061 x 477711541 x 328912077 x 24403
Negative: -1 x -50685031-23 x -2203697-31 x -1635001-67 x -756493-713 x -71087-1061 x -47771-1541 x -32891-2077 x -24403


How do I find the factor combinations of the number 50,685,031?

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 50,685,031, 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 50,685,031
-1 -50,685,031

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 50,685,031.

Example:
1 x 50,685,031 = 50,685,031
and
-1 x -50,685,031 = 50,685,031
Notice both answers equal 50,685,031

With that explanation out of the way, let's continue. Next, we take the number 50,685,031 and divide it by 2:

50,685,031 ÷ 2 = 25,342,515.5

If the quotient is a whole number, then 2 and 25,342,515.5 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 50,685,031
-1 -50,685,031

Now, we try dividing 50,685,031 by 3:

50,685,031 ÷ 3 = 16,895,010.3333

If the quotient is a whole number, then 3 and 16,895,010.3333 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 50,685,031
-1 -50,685,031

Let's try dividing by 4:

50,685,031 ÷ 4 = 12,671,257.75

If the quotient is a whole number, then 4 and 12,671,257.75 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 50,685,031
-1 50,685,031
Keep dividing by the next highest number until you cannot divide anymore.

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

12331677131,0611,5412,07724,40332,89147,77171,087756,4931,635,0012,203,69750,685,031
-1-23-31-67-713-1,061-1,541-2,077-24,403-32,891-47,771-71,087-756,493-1,635,001-2,203,697-50,685,031

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 50,685,031:


Ask a Question