Q: What are the factor combinations of the number 188,546,713?

 A:
Positive:   1 x 18854671359 x 3195707
Negative: -1 x -188546713-59 x -3195707


How do I find the factor combinations of the number 188,546,713?

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 188,546,713, 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.

1 188,546,713
-1 -188,546,713

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 188,546,713.

Example:
1 x 188,546,713 = 188,546,713
and
-1 x -188,546,713 = 188,546,713
Notice both answers equal 188,546,713

With that explanation out of the way, let's continue. Next, we take the number 188,546,713 and divide it by 2:

188,546,713 ÷ 2 = 94,273,356.5

If the quotient is a whole number, then 2 and 94,273,356.5 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:

1 188,546,713
-1 -188,546,713

Now, we try dividing 188,546,713 by 3:

188,546,713 ÷ 3 = 62,848,904.3333

If the quotient is a whole number, then 3 and 62,848,904.3333 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:

1 188,546,713
-1 -188,546,713

Let's try dividing by 4:

188,546,713 ÷ 4 = 47,136,678.25

If the quotient is a whole number, then 4 and 47,136,678.25 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:

1 188,546,713
-1 188,546,713
Keep dividing by the next highest number until you cannot divide anymore.

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

1593,195,707188,546,713
-1-59-3,195,707-188,546,713

More Examples

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