Q: What are the factor combinations of the number 137,753,405?

 A:
Positive:   1 x 1377534055 x 2755068137 x 3723065107 x 1287415185 x 744613535 x 2574833959 x 347956959 x 19795
Negative: -1 x -137753405-5 x -27550681-37 x -3723065-107 x -1287415-185 x -744613-535 x -257483-3959 x -34795-6959 x -19795


How do I find the factor combinations of the number 137,753,405?

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 137,753,405, 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.

1 137,753,405
-1 -137,753,405

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 137,753,405.

Example:
1 x 137,753,405 = 137,753,405
and
-1 x -137,753,405 = 137,753,405
Notice both answers equal 137,753,405

With that explanation out of the way, let's continue. Next, we take the number 137,753,405 and divide it by 2:

137,753,405 ÷ 2 = 68,876,702.5

If the quotient is a whole number, then 2 and 68,876,702.5 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:

1 137,753,405
-1 -137,753,405

Now, we try dividing 137,753,405 by 3:

137,753,405 ÷ 3 = 45,917,801.6667

If the quotient is a whole number, then 3 and 45,917,801.6667 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:

1 137,753,405
-1 -137,753,405

Let's try dividing by 4:

137,753,405 ÷ 4 = 34,438,351.25

If the quotient is a whole number, then 4 and 34,438,351.25 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:

1 137,753,405
-1 137,753,405
Keep dividing by the next highest number until you cannot divide anymore.

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

15371071855353,9596,95919,79534,795257,483744,6131,287,4153,723,06527,550,681137,753,405
-1-5-37-107-185-535-3,959-6,959-19,795-34,795-257,483-744,613-1,287,415-3,723,065-27,550,681-137,753,405

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