Q: What are the factor combinations of the number 743,656,999?

 A:
Positive:   1 x 74365699923 x 3233291397 x 7666567257 x 28936071297 x 5733672231 x 3333295911 x 12580924929 x 29831
Negative: -1 x -743656999-23 x -32332913-97 x -7666567-257 x -2893607-1297 x -573367-2231 x -333329-5911 x -125809-24929 x -29831


How do I find the factor combinations of the number 743,656,999?

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 743,656,999, 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.

1 743,656,999
-1 -743,656,999

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 743,656,999.

Example:
1 x 743,656,999 = 743,656,999
and
-1 x -743,656,999 = 743,656,999
Notice both answers equal 743,656,999

With that explanation out of the way, let's continue. Next, we take the number 743,656,999 and divide it by 2:

743,656,999 ÷ 2 = 371,828,499.5

If the quotient is a whole number, then 2 and 371,828,499.5 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:

1 743,656,999
-1 -743,656,999

Now, we try dividing 743,656,999 by 3:

743,656,999 ÷ 3 = 247,885,666.3333

If the quotient is a whole number, then 3 and 247,885,666.3333 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:

1 743,656,999
-1 -743,656,999

Let's try dividing by 4:

743,656,999 ÷ 4 = 185,914,249.75

If the quotient is a whole number, then 4 and 185,914,249.75 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:

1 743,656,999
-1 743,656,999
Keep dividing by the next highest number until you cannot divide anymore.

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

123972571,2972,2315,91124,92929,831125,809333,329573,3672,893,6077,666,56732,332,913743,656,999
-1-23-97-257-1,297-2,231-5,911-24,929-29,831-125,809-333,329-573,367-2,893,607-7,666,567-32,332,913-743,656,999

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 743,656,999:


Ask a Question