Q: What are the factor combinations of the number 50,901,565?

 A:
Positive:   1 x 509015655 x 1018031311 x 462741513 x 391550555 x 92548365 x 783101143 x 355955715 x 71191
Negative: -1 x -50901565-5 x -10180313-11 x -4627415-13 x -3915505-55 x -925483-65 x -783101-143 x -355955-715 x -71191


How do I find the factor combinations of the number 50,901,565?

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 50,901,565, 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 50,901,565
-1 -50,901,565

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 50,901,565.

Example:
1 x 50,901,565 = 50,901,565
and
-1 x -50,901,565 = 50,901,565
Notice both answers equal 50,901,565

With that explanation out of the way, let's continue. Next, we take the number 50,901,565 and divide it by 2:

50,901,565 ÷ 2 = 25,450,782.5

If the quotient is a whole number, then 2 and 25,450,782.5 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 50,901,565
-1 -50,901,565

Now, we try dividing 50,901,565 by 3:

50,901,565 ÷ 3 = 16,967,188.3333

If the quotient is a whole number, then 3 and 16,967,188.3333 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 50,901,565
-1 -50,901,565

Let's try dividing by 4:

50,901,565 ÷ 4 = 12,725,391.25

If the quotient is a whole number, then 4 and 12,725,391.25 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 50,901,565
-1 50,901,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371571,191355,955783,101925,4833,915,5054,627,41510,180,31350,901,565
-1-5-11-13-55-65-143-715-71,191-355,955-783,101-925,483-3,915,505-4,627,415-10,180,313-50,901,565

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 50,901,565:


Ask a Question