Q: What are the factor combinations of the number 50,636,035?

 A:
Positive:   1 x 506360355 x 10127207431 x 1174852155 x 23497
Negative: -1 x -50636035-5 x -10127207-431 x -117485-2155 x -23497


How do I find the factor combinations of the number 50,636,035?

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 50,636,035, 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 50,636,035
-1 -50,636,035

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 50,636,035.

Example:
1 x 50,636,035 = 50,636,035
and
-1 x -50,636,035 = 50,636,035
Notice both answers equal 50,636,035

With that explanation out of the way, let's continue. Next, we take the number 50,636,035 and divide it by 2:

50,636,035 ÷ 2 = 25,318,017.5

If the quotient is a whole number, then 2 and 25,318,017.5 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 50,636,035
-1 -50,636,035

Now, we try dividing 50,636,035 by 3:

50,636,035 ÷ 3 = 16,878,678.3333

If the quotient is a whole number, then 3 and 16,878,678.3333 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 50,636,035
-1 -50,636,035

Let's try dividing by 4:

50,636,035 ÷ 4 = 12,659,008.75

If the quotient is a whole number, then 4 and 12,659,008.75 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 50,636,035
-1 50,636,035
Keep dividing by the next highest number until you cannot divide anymore.

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

154312,15523,497117,48510,127,20750,636,035
-1-5-431-2,155-23,497-117,485-10,127,207-50,636,035

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 50,636,035:


Ask a Question