Q: What are the factor combinations of the number 748,654,855?

 A:
Positive:   1 x 7486548555 x 14973097113 x 5758883537 x 2023391565 x 11517767185 x 4046783481 x 15564552405 x 311291
Negative: -1 x -748654855-5 x -149730971-13 x -57588835-37 x -20233915-65 x -11517767-185 x -4046783-481 x -1556455-2405 x -311291


How do I find the factor combinations of the number 748,654,855?

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 748,654,855, 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.

1 748,654,855
-1 -748,654,855

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 748,654,855.

Example:
1 x 748,654,855 = 748,654,855
and
-1 x -748,654,855 = 748,654,855
Notice both answers equal 748,654,855

With that explanation out of the way, let's continue. Next, we take the number 748,654,855 and divide it by 2:

748,654,855 ÷ 2 = 374,327,427.5

If the quotient is a whole number, then 2 and 374,327,427.5 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:

1 748,654,855
-1 -748,654,855

Now, we try dividing 748,654,855 by 3:

748,654,855 ÷ 3 = 249,551,618.3333

If the quotient is a whole number, then 3 and 249,551,618.3333 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:

1 748,654,855
-1 -748,654,855

Let's try dividing by 4:

748,654,855 ÷ 4 = 187,163,713.75

If the quotient is a whole number, then 4 and 187,163,713.75 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:

1 748,654,855
-1 748,654,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651854812,405311,2911,556,4554,046,78311,517,76720,233,91557,588,835149,730,971748,654,855
-1-5-13-37-65-185-481-2,405-311,291-1,556,455-4,046,783-11,517,767-20,233,915-57,588,835-149,730,971-748,654,855

More Examples

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