Q: What are the factor combinations of the number 50,542,225?

 A:
Positive:   1 x 505422255 x 1010844525 x 202168979 x 639775157 x 321925163 x 310075395 x 127955785 x 64385815 x 620151975 x 255913925 x 128774075 x 12403
Negative: -1 x -50542225-5 x -10108445-25 x -2021689-79 x -639775-157 x -321925-163 x -310075-395 x -127955-785 x -64385-815 x -62015-1975 x -25591-3925 x -12877-4075 x -12403


How do I find the factor combinations of the number 50,542,225?

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 50,542,225, 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 50,542,225
-1 -50,542,225

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 50,542,225.

Example:
1 x 50,542,225 = 50,542,225
and
-1 x -50,542,225 = 50,542,225
Notice both answers equal 50,542,225

With that explanation out of the way, let's continue. Next, we take the number 50,542,225 and divide it by 2:

50,542,225 ÷ 2 = 25,271,112.5

If the quotient is a whole number, then 2 and 25,271,112.5 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 50,542,225
-1 -50,542,225

Now, we try dividing 50,542,225 by 3:

50,542,225 ÷ 3 = 16,847,408.3333

If the quotient is a whole number, then 3 and 16,847,408.3333 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 50,542,225
-1 -50,542,225

Let's try dividing by 4:

50,542,225 ÷ 4 = 12,635,556.25

If the quotient is a whole number, then 4 and 12,635,556.25 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 50,542,225
-1 50,542,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1525791571633957858151,9753,9254,07512,40312,87725,59162,01564,385127,955310,075321,925639,7752,021,68910,108,44550,542,225
-1-5-25-79-157-163-395-785-815-1,975-3,925-4,075-12,403-12,877-25,591-62,015-64,385-127,955-310,075-321,925-639,775-2,021,689-10,108,445-50,542,225

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