Q: What are the factor combinations of the number 237,831,737?

 A:
Positive:   1 x 23783173711 x 2162106713 x 1829474973 x 3257969143 x 1663159803 x 296179949 x 25061310439 x 22783
Negative: -1 x -237831737-11 x -21621067-13 x -18294749-73 x -3257969-143 x -1663159-803 x -296179-949 x -250613-10439 x -22783


How do I find the factor combinations of the number 237,831,737?

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 237,831,737, 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.

1 237,831,737
-1 -237,831,737

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 237,831,737.

Example:
1 x 237,831,737 = 237,831,737
and
-1 x -237,831,737 = 237,831,737
Notice both answers equal 237,831,737

With that explanation out of the way, let's continue. Next, we take the number 237,831,737 and divide it by 2:

237,831,737 ÷ 2 = 118,915,868.5

If the quotient is a whole number, then 2 and 118,915,868.5 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:

1 237,831,737
-1 -237,831,737

Now, we try dividing 237,831,737 by 3:

237,831,737 ÷ 3 = 79,277,245.6667

If the quotient is a whole number, then 3 and 79,277,245.6667 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:

1 237,831,737
-1 -237,831,737

Let's try dividing by 4:

237,831,737 ÷ 4 = 59,457,934.25

If the quotient is a whole number, then 4 and 59,457,934.25 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:

1 237,831,737
-1 237,831,737
Keep dividing by the next highest number until you cannot divide anymore.

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

111137314380394910,43922,783250,613296,1791,663,1593,257,96918,294,74921,621,067237,831,737
-1-11-13-73-143-803-949-10,439-22,783-250,613-296,179-1,663,159-3,257,969-18,294,749-21,621,067-237,831,737

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