Q: What are the factor combinations of the number 50,510,555?

 A:
Positive:   1 x 505105555 x 10102111701 x 720553505 x 14411
Negative: -1 x -50510555-5 x -10102111-701 x -72055-3505 x -14411


How do I find the factor combinations of the number 50,510,555?

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 50,510,555, 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 50,510,555
-1 -50,510,555

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 50,510,555.

Example:
1 x 50,510,555 = 50,510,555
and
-1 x -50,510,555 = 50,510,555
Notice both answers equal 50,510,555

With that explanation out of the way, let's continue. Next, we take the number 50,510,555 and divide it by 2:

50,510,555 ÷ 2 = 25,255,277.5

If the quotient is a whole number, then 2 and 25,255,277.5 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 50,510,555
-1 -50,510,555

Now, we try dividing 50,510,555 by 3:

50,510,555 ÷ 3 = 16,836,851.6667

If the quotient is a whole number, then 3 and 16,836,851.6667 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 50,510,555
-1 -50,510,555

Let's try dividing by 4:

50,510,555 ÷ 4 = 12,627,638.75

If the quotient is a whole number, then 4 and 12,627,638.75 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 50,510,555
-1 50,510,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157013,50514,41172,05510,102,11150,510,555
-1-5-701-3,505-14,411-72,055-10,102,111-50,510,555

More Examples

Here are some more numbers to try:

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