Q: What are the factor combinations of the number 50,221,105?

 A:
Positive:   1 x 502211055 x 1004422111 x 456555541 x 122490555 x 913111205 x 244981451 x 1113552255 x 22271
Negative: -1 x -50221105-5 x -10044221-11 x -4565555-41 x -1224905-55 x -913111-205 x -244981-451 x -111355-2255 x -22271


How do I find the factor combinations of the number 50,221,105?

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 50,221,105, 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 50,221,105
-1 -50,221,105

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 50,221,105.

Example:
1 x 50,221,105 = 50,221,105
and
-1 x -50,221,105 = 50,221,105
Notice both answers equal 50,221,105

With that explanation out of the way, let's continue. Next, we take the number 50,221,105 and divide it by 2:

50,221,105 ÷ 2 = 25,110,552.5

If the quotient is a whole number, then 2 and 25,110,552.5 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 50,221,105
-1 -50,221,105

Now, we try dividing 50,221,105 by 3:

50,221,105 ÷ 3 = 16,740,368.3333

If the quotient is a whole number, then 3 and 16,740,368.3333 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 50,221,105
-1 -50,221,105

Let's try dividing by 4:

50,221,105 ÷ 4 = 12,555,276.25

If the quotient is a whole number, then 4 and 12,555,276.25 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 50,221,105
-1 50,221,105
Keep dividing by the next highest number until you cannot divide anymore.

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

151141552054512,25522,271111,355244,981913,1111,224,9054,565,55510,044,22150,221,105
-1-5-11-41-55-205-451-2,255-22,271-111,355-244,981-913,111-1,224,905-4,565,555-10,044,221-50,221,105

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