Q: What are the factor combinations of the number 132,238,529?

 A:
Positive:   1 x 13223852917 x 777873731 x 426575959 x 2241331527 x 2509271003 x 1318431829 x 723014253 x 31093
Negative: -1 x -132238529-17 x -7778737-31 x -4265759-59 x -2241331-527 x -250927-1003 x -131843-1829 x -72301-4253 x -31093


How do I find the factor combinations of the number 132,238,529?

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 132,238,529, 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.

1 132,238,529
-1 -132,238,529

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 132,238,529.

Example:
1 x 132,238,529 = 132,238,529
and
-1 x -132,238,529 = 132,238,529
Notice both answers equal 132,238,529

With that explanation out of the way, let's continue. Next, we take the number 132,238,529 and divide it by 2:

132,238,529 ÷ 2 = 66,119,264.5

If the quotient is a whole number, then 2 and 66,119,264.5 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:

1 132,238,529
-1 -132,238,529

Now, we try dividing 132,238,529 by 3:

132,238,529 ÷ 3 = 44,079,509.6667

If the quotient is a whole number, then 3 and 44,079,509.6667 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:

1 132,238,529
-1 -132,238,529

Let's try dividing by 4:

132,238,529 ÷ 4 = 33,059,632.25

If the quotient is a whole number, then 4 and 33,059,632.25 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:

1 132,238,529
-1 132,238,529
Keep dividing by the next highest number until you cannot divide anymore.

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

11731595271,0031,8294,25331,09372,301131,843250,9272,241,3314,265,7597,778,737132,238,529
-1-17-31-59-527-1,003-1,829-4,253-31,093-72,301-131,843-250,927-2,241,331-4,265,759-7,778,737-132,238,529

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