Q: What are the factor combinations of the number 50,120,413?

 A:
Positive:   1 x 501204137 x 716005943 x 116559173 x 686581301 x 166513511 x 980832281 x 219733139 x 15967
Negative: -1 x -50120413-7 x -7160059-43 x -1165591-73 x -686581-301 x -166513-511 x -98083-2281 x -21973-3139 x -15967


How do I find the factor combinations of the number 50,120,413?

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 50,120,413, 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 50,120,413
-1 -50,120,413

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 50,120,413.

Example:
1 x 50,120,413 = 50,120,413
and
-1 x -50,120,413 = 50,120,413
Notice both answers equal 50,120,413

With that explanation out of the way, let's continue. Next, we take the number 50,120,413 and divide it by 2:

50,120,413 ÷ 2 = 25,060,206.5

If the quotient is a whole number, then 2 and 25,060,206.5 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 50,120,413
-1 -50,120,413

Now, we try dividing 50,120,413 by 3:

50,120,413 ÷ 3 = 16,706,804.3333

If the quotient is a whole number, then 3 and 16,706,804.3333 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 50,120,413
-1 -50,120,413

Let's try dividing by 4:

50,120,413 ÷ 4 = 12,530,103.25

If the quotient is a whole number, then 4 and 12,530,103.25 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 50,120,413
-1 50,120,413
Keep dividing by the next highest number until you cannot divide anymore.

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

1743733015112,2813,13915,96721,97398,083166,513686,5811,165,5917,160,05950,120,413
-1-7-43-73-301-511-2,281-3,139-15,967-21,973-98,083-166,513-686,581-1,165,591-7,160,059-50,120,413

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