Q: What are the factor combinations of the number 50,707,405?

 A:
Positive:   1 x 507074055 x 101414817 x 724391535 x 144878349 x 1034845245 x 206969343 x 1478351715 x 29567
Negative: -1 x -50707405-5 x -10141481-7 x -7243915-35 x -1448783-49 x -1034845-245 x -206969-343 x -147835-1715 x -29567


How do I find the factor combinations of the number 50,707,405?

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 50,707,405, 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 50,707,405
-1 -50,707,405

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 50,707,405.

Example:
1 x 50,707,405 = 50,707,405
and
-1 x -50,707,405 = 50,707,405
Notice both answers equal 50,707,405

With that explanation out of the way, let's continue. Next, we take the number 50,707,405 and divide it by 2:

50,707,405 ÷ 2 = 25,353,702.5

If the quotient is a whole number, then 2 and 25,353,702.5 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 50,707,405
-1 -50,707,405

Now, we try dividing 50,707,405 by 3:

50,707,405 ÷ 3 = 16,902,468.3333

If the quotient is a whole number, then 3 and 16,902,468.3333 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 50,707,405
-1 -50,707,405

Let's try dividing by 4:

50,707,405 ÷ 4 = 12,676,851.25

If the quotient is a whole number, then 4 and 12,676,851.25 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 50,707,405
-1 50,707,405
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,71529,567147,835206,9691,034,8451,448,7837,243,91510,141,48150,707,405
-1-5-7-35-49-245-343-1,715-29,567-147,835-206,969-1,034,845-1,448,783-7,243,915-10,141,481-50,707,405

More Examples

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