Q: What are the factor combinations of the number 134,202,131?

 A:
Positive:   1 x 1342021317 x 1917173317 x 789424331 x 432910149 x 2738819119 x 1127749217 x 618443527 x 254653833 x 1611071519 x 883493689 x 363795197 x 25823
Negative: -1 x -134202131-7 x -19171733-17 x -7894243-31 x -4329101-49 x -2738819-119 x -1127749-217 x -618443-527 x -254653-833 x -161107-1519 x -88349-3689 x -36379-5197 x -25823


How do I find the factor combinations of the number 134,202,131?

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 134,202,131, 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.

1 134,202,131
-1 -134,202,131

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 134,202,131.

Example:
1 x 134,202,131 = 134,202,131
and
-1 x -134,202,131 = 134,202,131
Notice both answers equal 134,202,131

With that explanation out of the way, let's continue. Next, we take the number 134,202,131 and divide it by 2:

134,202,131 ÷ 2 = 67,101,065.5

If the quotient is a whole number, then 2 and 67,101,065.5 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:

1 134,202,131
-1 -134,202,131

Now, we try dividing 134,202,131 by 3:

134,202,131 ÷ 3 = 44,734,043.6667

If the quotient is a whole number, then 3 and 44,734,043.6667 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:

1 134,202,131
-1 -134,202,131

Let's try dividing by 4:

134,202,131 ÷ 4 = 33,550,532.75

If the quotient is a whole number, then 4 and 33,550,532.75 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:

1 134,202,131
-1 134,202,131
Keep dividing by the next highest number until you cannot divide anymore.

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

171731491192175278331,5193,6895,19725,82336,37988,349161,107254,653618,4431,127,7492,738,8194,329,1017,894,24319,171,733134,202,131
-1-7-17-31-49-119-217-527-833-1,519-3,689-5,197-25,823-36,379-88,349-161,107-254,653-618,443-1,127,749-2,738,819-4,329,101-7,894,243-19,171,733-134,202,131

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