Q: What are the factor combinations of the number 132,551,429?

 A:
Positive:   1 x 13255142919 x 697639173 x 1815773227 x 583927421 x 3148491387 x 955674313 x 307337999 x 16571
Negative: -1 x -132551429-19 x -6976391-73 x -1815773-227 x -583927-421 x -314849-1387 x -95567-4313 x -30733-7999 x -16571


How do I find the factor combinations of the number 132,551,429?

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 132,551,429, 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.

1 132,551,429
-1 -132,551,429

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 132,551,429.

Example:
1 x 132,551,429 = 132,551,429
and
-1 x -132,551,429 = 132,551,429
Notice both answers equal 132,551,429

With that explanation out of the way, let's continue. Next, we take the number 132,551,429 and divide it by 2:

132,551,429 ÷ 2 = 66,275,714.5

If the quotient is a whole number, then 2 and 66,275,714.5 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:

1 132,551,429
-1 -132,551,429

Now, we try dividing 132,551,429 by 3:

132,551,429 ÷ 3 = 44,183,809.6667

If the quotient is a whole number, then 3 and 44,183,809.6667 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:

1 132,551,429
-1 -132,551,429

Let's try dividing by 4:

132,551,429 ÷ 4 = 33,137,857.25

If the quotient is a whole number, then 4 and 33,137,857.25 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:

1 132,551,429
-1 132,551,429
Keep dividing by the next highest number until you cannot divide anymore.

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

119732274211,3874,3137,99916,57130,73395,567314,849583,9271,815,7736,976,391132,551,429
-1-19-73-227-421-1,387-4,313-7,999-16,571-30,733-95,567-314,849-583,927-1,815,773-6,976,391-132,551,429

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 132,551,429:


Ask a Question