Q: What are the factor combinations of the number 247,749,125?

 A:
Positive:   1 x 2477491255 x 4954982513 x 1905762525 x 990996565 x 3811525125 x 1981993325 x 7623051625 x 152461
Negative: -1 x -247749125-5 x -49549825-13 x -19057625-25 x -9909965-65 x -3811525-125 x -1981993-325 x -762305-1625 x -152461


How do I find the factor combinations of the number 247,749,125?

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 247,749,125, 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.

1 247,749,125
-1 -247,749,125

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 247,749,125.

Example:
1 x 247,749,125 = 247,749,125
and
-1 x -247,749,125 = 247,749,125
Notice both answers equal 247,749,125

With that explanation out of the way, let's continue. Next, we take the number 247,749,125 and divide it by 2:

247,749,125 ÷ 2 = 123,874,562.5

If the quotient is a whole number, then 2 and 123,874,562.5 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:

1 247,749,125
-1 -247,749,125

Now, we try dividing 247,749,125 by 3:

247,749,125 ÷ 3 = 82,583,041.6667

If the quotient is a whole number, then 3 and 82,583,041.6667 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:

1 247,749,125
-1 -247,749,125

Let's try dividing by 4:

247,749,125 ÷ 4 = 61,937,281.25

If the quotient is a whole number, then 4 and 61,937,281.25 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:

1 247,749,125
-1 247,749,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,625152,461762,3051,981,9933,811,5259,909,96519,057,62549,549,825247,749,125
-1-5-13-25-65-125-325-1,625-152,461-762,305-1,981,993-3,811,525-9,909,965-19,057,625-49,549,825-247,749,125

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