Q: What are the factor combinations of the number 50,150,555?

 A:
Positive:   1 x 501505555 x 100301117 x 716436513 x 385773535 x 143287365 x 77154791 x 551105455 x 110221
Negative: -1 x -50150555-5 x -10030111-7 x -7164365-13 x -3857735-35 x -1432873-65 x -771547-91 x -551105-455 x -110221


How do I find the factor combinations of the number 50,150,555?

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 50,150,555, 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 50,150,555
-1 -50,150,555

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 50,150,555.

Example:
1 x 50,150,555 = 50,150,555
and
-1 x -50,150,555 = 50,150,555
Notice both answers equal 50,150,555

With that explanation out of the way, let's continue. Next, we take the number 50,150,555 and divide it by 2:

50,150,555 ÷ 2 = 25,075,277.5

If the quotient is a whole number, then 2 and 25,075,277.5 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 50,150,555
-1 -50,150,555

Now, we try dividing 50,150,555 by 3:

50,150,555 ÷ 3 = 16,716,851.6667

If the quotient is a whole number, then 3 and 16,716,851.6667 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 50,150,555
-1 -50,150,555

Let's try dividing by 4:

50,150,555 ÷ 4 = 12,537,638.75

If the quotient is a whole number, then 4 and 12,537,638.75 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 50,150,555
-1 50,150,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455110,221551,105771,5471,432,8733,857,7357,164,36510,030,11150,150,555
-1-5-7-13-35-65-91-455-110,221-551,105-771,547-1,432,873-3,857,735-7,164,365-10,030,111-50,150,555

More Examples

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