Q: What are the factor combinations of the number 237,400,933?

 A:
Positive:   1 x 2374009337 x 3391441911 x 2158190349 x 484491777 x 3083129343 x 692131539 x 4404473773 x 62921
Negative: -1 x -237400933-7 x -33914419-11 x -21581903-49 x -4844917-77 x -3083129-343 x -692131-539 x -440447-3773 x -62921


How do I find the factor combinations of the number 237,400,933?

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 237,400,933, 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.

1 237,400,933
-1 -237,400,933

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 237,400,933.

Example:
1 x 237,400,933 = 237,400,933
and
-1 x -237,400,933 = 237,400,933
Notice both answers equal 237,400,933

With that explanation out of the way, let's continue. Next, we take the number 237,400,933 and divide it by 2:

237,400,933 ÷ 2 = 118,700,466.5

If the quotient is a whole number, then 2 and 118,700,466.5 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:

1 237,400,933
-1 -237,400,933

Now, we try dividing 237,400,933 by 3:

237,400,933 ÷ 3 = 79,133,644.3333

If the quotient is a whole number, then 3 and 79,133,644.3333 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:

1 237,400,933
-1 -237,400,933

Let's try dividing by 4:

237,400,933 ÷ 4 = 59,350,233.25

If the quotient is a whole number, then 4 and 59,350,233.25 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:

1 237,400,933
-1 237,400,933
Keep dividing by the next highest number until you cannot divide anymore.

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

171149773435393,77362,921440,447692,1313,083,1294,844,91721,581,90333,914,419237,400,933
-1-7-11-49-77-343-539-3,773-62,921-440,447-692,131-3,083,129-4,844,917-21,581,903-33,914,419-237,400,933

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