Q: What are the factor combinations of the number 137,334,047?

 A:
Positive:   1 x 13733404737 x 371173147 x 2922001151 x 909497523 x 2625891739 x 789735587 x 245817097 x 19351
Negative: -1 x -137334047-37 x -3711731-47 x -2922001-151 x -909497-523 x -262589-1739 x -78973-5587 x -24581-7097 x -19351


How do I find the factor combinations of the number 137,334,047?

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 137,334,047, 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.

1 137,334,047
-1 -137,334,047

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 137,334,047.

Example:
1 x 137,334,047 = 137,334,047
and
-1 x -137,334,047 = 137,334,047
Notice both answers equal 137,334,047

With that explanation out of the way, let's continue. Next, we take the number 137,334,047 and divide it by 2:

137,334,047 ÷ 2 = 68,667,023.5

If the quotient is a whole number, then 2 and 68,667,023.5 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:

1 137,334,047
-1 -137,334,047

Now, we try dividing 137,334,047 by 3:

137,334,047 ÷ 3 = 45,778,015.6667

If the quotient is a whole number, then 3 and 45,778,015.6667 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:

1 137,334,047
-1 -137,334,047

Let's try dividing by 4:

137,334,047 ÷ 4 = 34,333,511.75

If the quotient is a whole number, then 4 and 34,333,511.75 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:

1 137,334,047
-1 137,334,047
Keep dividing by the next highest number until you cannot divide anymore.

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

137471515231,7395,5877,09719,35124,58178,973262,589909,4972,922,0013,711,731137,334,047
-1-37-47-151-523-1,739-5,587-7,097-19,351-24,581-78,973-262,589-909,497-2,922,001-3,711,731-137,334,047

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