Q: What are the factor combinations of the number 137,613,475?

 A:
Positive:   1 x 1376134755 x 2752269525 x 5504539139 x 990025199 x 691525695 x 198005995 x 1383053475 x 396014975 x 27661
Negative: -1 x -137613475-5 x -27522695-25 x -5504539-139 x -990025-199 x -691525-695 x -198005-995 x -138305-3475 x -39601-4975 x -27661


How do I find the factor combinations of the number 137,613,475?

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 137,613,475, 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.

1 137,613,475
-1 -137,613,475

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 137,613,475.

Example:
1 x 137,613,475 = 137,613,475
and
-1 x -137,613,475 = 137,613,475
Notice both answers equal 137,613,475

With that explanation out of the way, let's continue. Next, we take the number 137,613,475 and divide it by 2:

137,613,475 ÷ 2 = 68,806,737.5

If the quotient is a whole number, then 2 and 68,806,737.5 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:

1 137,613,475
-1 -137,613,475

Now, we try dividing 137,613,475 by 3:

137,613,475 ÷ 3 = 45,871,158.3333

If the quotient is a whole number, then 3 and 45,871,158.3333 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:

1 137,613,475
-1 -137,613,475

Let's try dividing by 4:

137,613,475 ÷ 4 = 34,403,368.75

If the quotient is a whole number, then 4 and 34,403,368.75 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:

1 137,613,475
-1 137,613,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15251391996959953,4754,97527,66139,601138,305198,005691,525990,0255,504,53927,522,695137,613,475
-1-5-25-139-199-695-995-3,475-4,975-27,661-39,601-138,305-198,005-691,525-990,025-5,504,539-27,522,695-137,613,475

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