Q: What are the factor combinations of the number 741,034,723?

 A:
Positive:   1 x 74103472311 x 6736679313 x 5700267123 x 32218901143 x 5182061253 x 2928991299 x 24783773289 x 225307
Negative: -1 x -741034723-11 x -67366793-13 x -57002671-23 x -32218901-143 x -5182061-253 x -2928991-299 x -2478377-3289 x -225307


How do I find the factor combinations of the number 741,034,723?

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 741,034,723, 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.

1 741,034,723
-1 -741,034,723

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 741,034,723.

Example:
1 x 741,034,723 = 741,034,723
and
-1 x -741,034,723 = 741,034,723
Notice both answers equal 741,034,723

With that explanation out of the way, let's continue. Next, we take the number 741,034,723 and divide it by 2:

741,034,723 ÷ 2 = 370,517,361.5

If the quotient is a whole number, then 2 and 370,517,361.5 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:

1 741,034,723
-1 -741,034,723

Now, we try dividing 741,034,723 by 3:

741,034,723 ÷ 3 = 247,011,574.3333

If the quotient is a whole number, then 3 and 247,011,574.3333 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:

1 741,034,723
-1 -741,034,723

Let's try dividing by 4:

741,034,723 ÷ 4 = 185,258,680.75

If the quotient is a whole number, then 4 and 185,258,680.75 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:

1 741,034,723
-1 741,034,723
Keep dividing by the next highest number until you cannot divide anymore.

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

11113231432532993,289225,3072,478,3772,928,9915,182,06132,218,90157,002,67167,366,793741,034,723
-1-11-13-23-143-253-299-3,289-225,307-2,478,377-2,928,991-5,182,061-32,218,901-57,002,671-67,366,793-741,034,723

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