Q: What are the factor combinations of the number 47,215,133?

 A:
Positive:   1 x 472151337 x 674501919 x 2485007133 x 355001151 x 3126831057 x 446692351 x 200832869 x 16457
Negative: -1 x -47215133-7 x -6745019-19 x -2485007-133 x -355001-151 x -312683-1057 x -44669-2351 x -20083-2869 x -16457


How do I find the factor combinations of the number 47,215,133?

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 47,215,133, 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 47,215,133
-1 -47,215,133

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 47,215,133.

Example:
1 x 47,215,133 = 47,215,133
and
-1 x -47,215,133 = 47,215,133
Notice both answers equal 47,215,133

With that explanation out of the way, let's continue. Next, we take the number 47,215,133 and divide it by 2:

47,215,133 ÷ 2 = 23,607,566.5

If the quotient is a whole number, then 2 and 23,607,566.5 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 47,215,133
-1 -47,215,133

Now, we try dividing 47,215,133 by 3:

47,215,133 ÷ 3 = 15,738,377.6667

If the quotient is a whole number, then 3 and 15,738,377.6667 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 47,215,133
-1 -47,215,133

Let's try dividing by 4:

47,215,133 ÷ 4 = 11,803,783.25

If the quotient is a whole number, then 4 and 11,803,783.25 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 47,215,133
-1 47,215,133
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331511,0572,3512,86916,45720,08344,669312,683355,0012,485,0076,745,01947,215,133
-1-7-19-133-151-1,057-2,351-2,869-16,457-20,083-44,669-312,683-355,001-2,485,007-6,745,019-47,215,133

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