Q: What are the factor combinations of the number 132,201,671?

 A:
Positive:   1 x 1322016717 x 1888595341 x 3224431287 x 460633
Negative: -1 x -132201671-7 x -18885953-41 x -3224431-287 x -460633


How do I find the factor combinations of the number 132,201,671?

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 132,201,671, 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.

1 132,201,671
-1 -132,201,671

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 132,201,671.

Example:
1 x 132,201,671 = 132,201,671
and
-1 x -132,201,671 = 132,201,671
Notice both answers equal 132,201,671

With that explanation out of the way, let's continue. Next, we take the number 132,201,671 and divide it by 2:

132,201,671 ÷ 2 = 66,100,835.5

If the quotient is a whole number, then 2 and 66,100,835.5 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:

1 132,201,671
-1 -132,201,671

Now, we try dividing 132,201,671 by 3:

132,201,671 ÷ 3 = 44,067,223.6667

If the quotient is a whole number, then 3 and 44,067,223.6667 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:

1 132,201,671
-1 -132,201,671

Let's try dividing by 4:

132,201,671 ÷ 4 = 33,050,417.75

If the quotient is a whole number, then 4 and 33,050,417.75 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:

1 132,201,671
-1 132,201,671
Keep dividing by the next highest number until you cannot divide anymore.

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

1741287460,6333,224,43118,885,953132,201,671
-1-7-41-287-460,633-3,224,431-18,885,953-132,201,671

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 132,201,671:


Ask a Question