Q: What are the factor combinations of the number 137,183,695?

 A:
Positive:   1 x 1371836955 x 2743673911 x 1247124555 x 2494249113 x 1214015565 x 2428031243 x 1103656215 x 22073
Negative: -1 x -137183695-5 x -27436739-11 x -12471245-55 x -2494249-113 x -1214015-565 x -242803-1243 x -110365-6215 x -22073


How do I find the factor combinations of the number 137,183,695?

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 137,183,695, 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.

1 137,183,695
-1 -137,183,695

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 137,183,695.

Example:
1 x 137,183,695 = 137,183,695
and
-1 x -137,183,695 = 137,183,695
Notice both answers equal 137,183,695

With that explanation out of the way, let's continue. Next, we take the number 137,183,695 and divide it by 2:

137,183,695 ÷ 2 = 68,591,847.5

If the quotient is a whole number, then 2 and 68,591,847.5 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:

1 137,183,695
-1 -137,183,695

Now, we try dividing 137,183,695 by 3:

137,183,695 ÷ 3 = 45,727,898.3333

If the quotient is a whole number, then 3 and 45,727,898.3333 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:

1 137,183,695
-1 -137,183,695

Let's try dividing by 4:

137,183,695 ÷ 4 = 34,295,923.75

If the quotient is a whole number, then 4 and 34,295,923.75 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:

1 137,183,695
-1 137,183,695
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551135651,2436,21522,073110,365242,8031,214,0152,494,24912,471,24527,436,739137,183,695
-1-5-11-55-113-565-1,243-6,215-22,073-110,365-242,803-1,214,015-2,494,249-12,471,245-27,436,739-137,183,695

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