Q: What are the factor combinations of the number 741,044,723?

 A:
Positive:   1 x 74104472347 x 1576690967 x 11060369139 x 53312571693 x 4377113149 x 2353276533 x 1134319313 x 79571
Negative: -1 x -741044723-47 x -15766909-67 x -11060369-139 x -5331257-1693 x -437711-3149 x -235327-6533 x -113431-9313 x -79571


How do I find the factor combinations of the number 741,044,723?

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 741,044,723, 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.

1 741,044,723
-1 -741,044,723

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 741,044,723.

Example:
1 x 741,044,723 = 741,044,723
and
-1 x -741,044,723 = 741,044,723
Notice both answers equal 741,044,723

With that explanation out of the way, let's continue. Next, we take the number 741,044,723 and divide it by 2:

741,044,723 ÷ 2 = 370,522,361.5

If the quotient is a whole number, then 2 and 370,522,361.5 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:

1 741,044,723
-1 -741,044,723

Now, we try dividing 741,044,723 by 3:

741,044,723 ÷ 3 = 247,014,907.6667

If the quotient is a whole number, then 3 and 247,014,907.6667 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:

1 741,044,723
-1 -741,044,723

Let's try dividing by 4:

741,044,723 ÷ 4 = 185,261,180.75

If the quotient is a whole number, then 4 and 185,261,180.75 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:

1 741,044,723
-1 741,044,723
Keep dividing by the next highest number until you cannot divide anymore.

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

147671391,6933,1496,5339,31379,571113,431235,327437,7115,331,25711,060,36915,766,909741,044,723
-1-47-67-139-1,693-3,149-6,533-9,313-79,571-113,431-235,327-437,711-5,331,257-11,060,369-15,766,909-741,044,723

More Examples

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