Q: What are the factor combinations of the number 134,538,733?

 A:
Positive:   1 x 1345387337 x 1921981961 x 2205553163 x 825391427 x 3150791141 x 1179131933 x 696019943 x 13531
Negative: -1 x -134538733-7 x -19219819-61 x -2205553-163 x -825391-427 x -315079-1141 x -117913-1933 x -69601-9943 x -13531


How do I find the factor combinations of the number 134,538,733?

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 134,538,733, 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.

1 134,538,733
-1 -134,538,733

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 134,538,733.

Example:
1 x 134,538,733 = 134,538,733
and
-1 x -134,538,733 = 134,538,733
Notice both answers equal 134,538,733

With that explanation out of the way, let's continue. Next, we take the number 134,538,733 and divide it by 2:

134,538,733 ÷ 2 = 67,269,366.5

If the quotient is a whole number, then 2 and 67,269,366.5 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:

1 134,538,733
-1 -134,538,733

Now, we try dividing 134,538,733 by 3:

134,538,733 ÷ 3 = 44,846,244.3333

If the quotient is a whole number, then 3 and 44,846,244.3333 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:

1 134,538,733
-1 -134,538,733

Let's try dividing by 4:

134,538,733 ÷ 4 = 33,634,683.25

If the quotient is a whole number, then 4 and 33,634,683.25 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:

1 134,538,733
-1 134,538,733
Keep dividing by the next highest number until you cannot divide anymore.

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

17611634271,1411,9339,94313,53169,601117,913315,079825,3912,205,55319,219,819134,538,733
-1-7-61-163-427-1,141-1,933-9,943-13,531-69,601-117,913-315,079-825,391-2,205,553-19,219,819-134,538,733

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