Q: What are the factor combinations of the number 137,713,075?

 A:
Positive:   1 x 1377130755 x 2754261523 x 598752525 x 550852337 x 3721975115 x 1197505185 x 744395575 x 239501851 x 161825925 x 1488794255 x 323656473 x 21275
Negative: -1 x -137713075-5 x -27542615-23 x -5987525-25 x -5508523-37 x -3721975-115 x -1197505-185 x -744395-575 x -239501-851 x -161825-925 x -148879-4255 x -32365-6473 x -21275


How do I find the factor combinations of the number 137,713,075?

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 137,713,075, 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.

1 137,713,075
-1 -137,713,075

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 137,713,075.

Example:
1 x 137,713,075 = 137,713,075
and
-1 x -137,713,075 = 137,713,075
Notice both answers equal 137,713,075

With that explanation out of the way, let's continue. Next, we take the number 137,713,075 and divide it by 2:

137,713,075 ÷ 2 = 68,856,537.5

If the quotient is a whole number, then 2 and 68,856,537.5 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:

1 137,713,075
-1 -137,713,075

Now, we try dividing 137,713,075 by 3:

137,713,075 ÷ 3 = 45,904,358.3333

If the quotient is a whole number, then 3 and 45,904,358.3333 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:

1 137,713,075
-1 -137,713,075

Let's try dividing by 4:

137,713,075 ÷ 4 = 34,428,268.75

If the quotient is a whole number, then 4 and 34,428,268.75 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:

1 137,713,075
-1 137,713,075
Keep dividing by the next highest number until you cannot divide anymore.

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

152325371151855758519254,2556,47321,27532,365148,879161,825239,501744,3951,197,5053,721,9755,508,5235,987,52527,542,615137,713,075
-1-5-23-25-37-115-185-575-851-925-4,255-6,473-21,275-32,365-148,879-161,825-239,501-744,395-1,197,505-3,721,975-5,508,523-5,987,525-27,542,615-137,713,075

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