Q: What are the factor combinations of the number 132,557,711?

 A:
Positive:   1 x 13255771111 x 1205070113 x 10196747143 x 926977
Negative: -1 x -132557711-11 x -12050701-13 x -10196747-143 x -926977


How do I find the factor combinations of the number 132,557,711?

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 132,557,711, 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.

1 132,557,711
-1 -132,557,711

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 132,557,711.

Example:
1 x 132,557,711 = 132,557,711
and
-1 x -132,557,711 = 132,557,711
Notice both answers equal 132,557,711

With that explanation out of the way, let's continue. Next, we take the number 132,557,711 and divide it by 2:

132,557,711 ÷ 2 = 66,278,855.5

If the quotient is a whole number, then 2 and 66,278,855.5 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:

1 132,557,711
-1 -132,557,711

Now, we try dividing 132,557,711 by 3:

132,557,711 ÷ 3 = 44,185,903.6667

If the quotient is a whole number, then 3 and 44,185,903.6667 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:

1 132,557,711
-1 -132,557,711

Let's try dividing by 4:

132,557,711 ÷ 4 = 33,139,427.75

If the quotient is a whole number, then 4 and 33,139,427.75 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:

1 132,557,711
-1 132,557,711
Keep dividing by the next highest number until you cannot divide anymore.

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

11113143926,97710,196,74712,050,701132,557,711
-1-11-13-143-926,977-10,196,747-12,050,701-132,557,711

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 132,557,711:


Ask a Question