Q: What are the factor combinations of the number 50,422,741?

 A:
Positive:   1 x 50422741197 x 255953311 x 162131823 x 61267
Negative: -1 x -50422741-197 x -255953-311 x -162131-823 x -61267


How do I find the factor combinations of the number 50,422,741?

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 50,422,741, 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 50,422,741
-1 -50,422,741

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 50,422,741.

Example:
1 x 50,422,741 = 50,422,741
and
-1 x -50,422,741 = 50,422,741
Notice both answers equal 50,422,741

With that explanation out of the way, let's continue. Next, we take the number 50,422,741 and divide it by 2:

50,422,741 ÷ 2 = 25,211,370.5

If the quotient is a whole number, then 2 and 25,211,370.5 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 50,422,741
-1 -50,422,741

Now, we try dividing 50,422,741 by 3:

50,422,741 ÷ 3 = 16,807,580.3333

If the quotient is a whole number, then 3 and 16,807,580.3333 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 50,422,741
-1 -50,422,741

Let's try dividing by 4:

50,422,741 ÷ 4 = 12,605,685.25

If the quotient is a whole number, then 4 and 12,605,685.25 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 50,422,741
-1 50,422,741
Keep dividing by the next highest number until you cannot divide anymore.

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

119731182361,267162,131255,95350,422,741
-1-197-311-823-61,267-162,131-255,953-50,422,741

More Examples

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