Q: What are the factor combinations of the number 132,877,003?

 A:
Positive:   1 x 1328770037 x 1898242923 x 5777261161 x 825323223 x 5958611561 x 851233701 x 359035129 x 25907
Negative: -1 x -132877003-7 x -18982429-23 x -5777261-161 x -825323-223 x -595861-1561 x -85123-3701 x -35903-5129 x -25907


How do I find the factor combinations of the number 132,877,003?

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 132,877,003, 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.

1 132,877,003
-1 -132,877,003

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 132,877,003.

Example:
1 x 132,877,003 = 132,877,003
and
-1 x -132,877,003 = 132,877,003
Notice both answers equal 132,877,003

With that explanation out of the way, let's continue. Next, we take the number 132,877,003 and divide it by 2:

132,877,003 ÷ 2 = 66,438,501.5

If the quotient is a whole number, then 2 and 66,438,501.5 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:

1 132,877,003
-1 -132,877,003

Now, we try dividing 132,877,003 by 3:

132,877,003 ÷ 3 = 44,292,334.3333

If the quotient is a whole number, then 3 and 44,292,334.3333 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:

1 132,877,003
-1 -132,877,003

Let's try dividing by 4:

132,877,003 ÷ 4 = 33,219,250.75

If the quotient is a whole number, then 4 and 33,219,250.75 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:

1 132,877,003
-1 132,877,003
Keep dividing by the next highest number until you cannot divide anymore.

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

17231612231,5613,7015,12925,90735,90385,123595,861825,3235,777,26118,982,429132,877,003
-1-7-23-161-223-1,561-3,701-5,129-25,907-35,903-85,123-595,861-825,323-5,777,261-18,982,429-132,877,003

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