Q: What are the factor combinations of the number 195,701?

 A:
Positive:   1 x 19570111 x 17791
Negative: -1 x -195701-11 x -17791


How do I find the factor combinations of the number 195,701?

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 195,701, 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.

1 195,701
-1 -195,701

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 195,701.

Example:
1 x 195,701 = 195,701
and
-1 x -195,701 = 195,701
Notice both answers equal 195,701

With that explanation out of the way, let's continue. Next, we take the number 195,701 and divide it by 2:

195,701 ÷ 2 = 97,850.5

If the quotient is a whole number, then 2 and 97,850.5 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:

1 195,701
-1 -195,701

Now, we try dividing 195,701 by 3:

195,701 ÷ 3 = 65,233.6667

If the quotient is a whole number, then 3 and 65,233.6667 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:

1 195,701
-1 -195,701

Let's try dividing by 4:

195,701 ÷ 4 = 48,925.25

If the quotient is a whole number, then 4 and 48,925.25 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:

1 195,701
-1 195,701
Keep dividing by the next highest number until you cannot divide anymore.

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

11117,791195,701
-1-11-17,791-195,701

More Examples

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