Q: What are the factor combinations of the number 50,532,055?

 A:
Positive:   1 x 505320555 x 101064117 x 721886535 x 144377353 x 953435265 x 190687371 x 1362051855 x 27241
Negative: -1 x -50532055-5 x -10106411-7 x -7218865-35 x -1443773-53 x -953435-265 x -190687-371 x -136205-1855 x -27241


How do I find the factor combinations of the number 50,532,055?

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 50,532,055, 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 50,532,055
-1 -50,532,055

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 50,532,055.

Example:
1 x 50,532,055 = 50,532,055
and
-1 x -50,532,055 = 50,532,055
Notice both answers equal 50,532,055

With that explanation out of the way, let's continue. Next, we take the number 50,532,055 and divide it by 2:

50,532,055 ÷ 2 = 25,266,027.5

If the quotient is a whole number, then 2 and 25,266,027.5 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 50,532,055
-1 -50,532,055

Now, we try dividing 50,532,055 by 3:

50,532,055 ÷ 3 = 16,844,018.3333

If the quotient is a whole number, then 3 and 16,844,018.3333 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 50,532,055
-1 -50,532,055

Let's try dividing by 4:

50,532,055 ÷ 4 = 12,633,013.75

If the quotient is a whole number, then 4 and 12,633,013.75 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 50,532,055
-1 50,532,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,85527,241136,205190,687953,4351,443,7737,218,86510,106,41150,532,055
-1-5-7-35-53-265-371-1,855-27,241-136,205-190,687-953,435-1,443,773-7,218,865-10,106,411-50,532,055

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