Q: What are the factor combinations of the number 234,800,755?

 A:
Positive:   1 x 2348007555 x 469601517 x 3354296535 x 67085931063 x 2208855315 x 441776311 x 372057441 x 31555
Negative: -1 x -234800755-5 x -46960151-7 x -33542965-35 x -6708593-1063 x -220885-5315 x -44177-6311 x -37205-7441 x -31555


How do I find the factor combinations of the number 234,800,755?

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 234,800,755, 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.

1 234,800,755
-1 -234,800,755

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 234,800,755.

Example:
1 x 234,800,755 = 234,800,755
and
-1 x -234,800,755 = 234,800,755
Notice both answers equal 234,800,755

With that explanation out of the way, let's continue. Next, we take the number 234,800,755 and divide it by 2:

234,800,755 ÷ 2 = 117,400,377.5

If the quotient is a whole number, then 2 and 117,400,377.5 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:

1 234,800,755
-1 -234,800,755

Now, we try dividing 234,800,755 by 3:

234,800,755 ÷ 3 = 78,266,918.3333

If the quotient is a whole number, then 3 and 78,266,918.3333 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:

1 234,800,755
-1 -234,800,755

Let's try dividing by 4:

234,800,755 ÷ 4 = 58,700,188.75

If the quotient is a whole number, then 4 and 58,700,188.75 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:

1 234,800,755
-1 234,800,755
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,0635,3156,3117,44131,55537,20544,177220,8856,708,59333,542,96546,960,151234,800,755
-1-5-7-35-1,063-5,315-6,311-7,441-31,555-37,205-44,177-220,885-6,708,593-33,542,965-46,960,151-234,800,755

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