Q: What are the factor combinations of the number 47,816,783?

 A:
Positive:   1 x 478167837 x 683096941 x 1166263287 x 166609
Negative: -1 x -47816783-7 x -6830969-41 x -1166263-287 x -166609


How do I find the factor combinations of the number 47,816,783?

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 47,816,783, 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 47,816,783
-1 -47,816,783

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 47,816,783.

Example:
1 x 47,816,783 = 47,816,783
and
-1 x -47,816,783 = 47,816,783
Notice both answers equal 47,816,783

With that explanation out of the way, let's continue. Next, we take the number 47,816,783 and divide it by 2:

47,816,783 ÷ 2 = 23,908,391.5

If the quotient is a whole number, then 2 and 23,908,391.5 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 47,816,783
-1 -47,816,783

Now, we try dividing 47,816,783 by 3:

47,816,783 ÷ 3 = 15,938,927.6667

If the quotient is a whole number, then 3 and 15,938,927.6667 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 47,816,783
-1 -47,816,783

Let's try dividing by 4:

47,816,783 ÷ 4 = 11,954,195.75

If the quotient is a whole number, then 4 and 11,954,195.75 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 47,816,783
-1 47,816,783
Keep dividing by the next highest number until you cannot divide anymore.

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

1741287166,6091,166,2636,830,96947,816,783
-1-7-41-287-166,609-1,166,263-6,830,969-47,816,783

More Examples

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