Q: What are the factor combinations of the number 237,407,833?

 A:
Positive:   1 x 23740783313 x 1826214129 x 8186477269 x 882557377 x 6297292341 x 1014133497 x 678897801 x 30433
Negative: -1 x -237407833-13 x -18262141-29 x -8186477-269 x -882557-377 x -629729-2341 x -101413-3497 x -67889-7801 x -30433


How do I find the factor combinations of the number 237,407,833?

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 237,407,833, 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.

1 237,407,833
-1 -237,407,833

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 237,407,833.

Example:
1 x 237,407,833 = 237,407,833
and
-1 x -237,407,833 = 237,407,833
Notice both answers equal 237,407,833

With that explanation out of the way, let's continue. Next, we take the number 237,407,833 and divide it by 2:

237,407,833 ÷ 2 = 118,703,916.5

If the quotient is a whole number, then 2 and 118,703,916.5 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:

1 237,407,833
-1 -237,407,833

Now, we try dividing 237,407,833 by 3:

237,407,833 ÷ 3 = 79,135,944.3333

If the quotient is a whole number, then 3 and 79,135,944.3333 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:

1 237,407,833
-1 -237,407,833

Let's try dividing by 4:

237,407,833 ÷ 4 = 59,351,958.25

If the quotient is a whole number, then 4 and 59,351,958.25 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:

1 237,407,833
-1 237,407,833
Keep dividing by the next highest number until you cannot divide anymore.

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

113292693772,3413,4977,80130,43367,889101,413629,729882,5578,186,47718,262,141237,407,833
-1-13-29-269-377-2,341-3,497-7,801-30,433-67,889-101,413-629,729-882,557-8,186,477-18,262,141-237,407,833

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