Q: What are the factor combinations of the number 740,736,723?

 A:
Positive:   1 x 7407367233 x 24691224131 x 2389473393 x 7964911313 x 2366571939 x 7888579703 x 7634125447 x 29109
Negative: -1 x -740736723-3 x -246912241-31 x -23894733-93 x -7964911-313 x -2366571-939 x -788857-9703 x -76341-25447 x -29109


How do I find the factor combinations of the number 740,736,723?

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 740,736,723, 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.

1 740,736,723
-1 -740,736,723

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 740,736,723.

Example:
1 x 740,736,723 = 740,736,723
and
-1 x -740,736,723 = 740,736,723
Notice both answers equal 740,736,723

With that explanation out of the way, let's continue. Next, we take the number 740,736,723 and divide it by 2:

740,736,723 ÷ 2 = 370,368,361.5

If the quotient is a whole number, then 2 and 370,368,361.5 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:

1 740,736,723
-1 -740,736,723

Now, we try dividing 740,736,723 by 3:

740,736,723 ÷ 3 = 246,912,241

If the quotient is a whole number, then 3 and 246,912,241 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 246,912,241 740,736,723
-1 -3 -246,912,241 -740,736,723

Let's try dividing by 4:

740,736,723 ÷ 4 = 185,184,180.75

If the quotient is a whole number, then 4 and 185,184,180.75 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 3 246,912,241 740,736,723
-1 -3 -246,912,241 740,736,723
Keep dividing by the next highest number until you cannot divide anymore.

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

1331933139399,70325,44729,10976,341788,8572,366,5717,964,91123,894,733246,912,241740,736,723
-1-3-31-93-313-939-9,703-25,447-29,109-76,341-788,857-2,366,571-7,964,911-23,894,733-246,912,241-740,736,723

More Examples

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