Q: What are the factor combinations of the number 50,011,315?

 A:
Positive:   1 x 500113155 x 1000226323 x 2174405115 x 434881
Negative: -1 x -50011315-5 x -10002263-23 x -2174405-115 x -434881


How do I find the factor combinations of the number 50,011,315?

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 50,011,315, 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 50,011,315
-1 -50,011,315

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 50,011,315.

Example:
1 x 50,011,315 = 50,011,315
and
-1 x -50,011,315 = 50,011,315
Notice both answers equal 50,011,315

With that explanation out of the way, let's continue. Next, we take the number 50,011,315 and divide it by 2:

50,011,315 ÷ 2 = 25,005,657.5

If the quotient is a whole number, then 2 and 25,005,657.5 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 50,011,315
-1 -50,011,315

Now, we try dividing 50,011,315 by 3:

50,011,315 ÷ 3 = 16,670,438.3333

If the quotient is a whole number, then 3 and 16,670,438.3333 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 50,011,315
-1 -50,011,315

Let's try dividing by 4:

50,011,315 ÷ 4 = 12,502,828.75

If the quotient is a whole number, then 4 and 12,502,828.75 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 50,011,315
-1 50,011,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1523115434,8812,174,40510,002,26350,011,315
-1-5-23-115-434,881-2,174,405-10,002,263-50,011,315

More Examples

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