Q: What are the factor combinations of the number 723,130,375?

 A:
Positive:   1 x 7231303755 x 14462607511 x 6573912525 x 2892521555 x 13147825125 x 5785043275 x 26295651375 x 525913
Negative: -1 x -723130375-5 x -144626075-11 x -65739125-25 x -28925215-55 x -13147825-125 x -5785043-275 x -2629565-1375 x -525913


How do I find the factor combinations of the number 723,130,375?

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 723,130,375, 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.

1 723,130,375
-1 -723,130,375

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 723,130,375.

Example:
1 x 723,130,375 = 723,130,375
and
-1 x -723,130,375 = 723,130,375
Notice both answers equal 723,130,375

With that explanation out of the way, let's continue. Next, we take the number 723,130,375 and divide it by 2:

723,130,375 ÷ 2 = 361,565,187.5

If the quotient is a whole number, then 2 and 361,565,187.5 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:

1 723,130,375
-1 -723,130,375

Now, we try dividing 723,130,375 by 3:

723,130,375 ÷ 3 = 241,043,458.3333

If the quotient is a whole number, then 3 and 241,043,458.3333 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:

1 723,130,375
-1 -723,130,375

Let's try dividing by 4:

723,130,375 ÷ 4 = 180,782,593.75

If the quotient is a whole number, then 4 and 180,782,593.75 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:

1 723,130,375
-1 723,130,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,375525,9132,629,5655,785,04313,147,82528,925,21565,739,125144,626,075723,130,375
-1-5-11-25-55-125-275-1,375-525,913-2,629,565-5,785,043-13,147,825-28,925,215-65,739,125-144,626,075-723,130,375

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