Q: What are the factor combinations of the number 320,443,255?

 A:
Positive:   1 x 3204432555 x 6408865111 x 2913120555 x 5826241983 x 3259854915 x 651975927 x 5406510813 x 29635
Negative: -1 x -320443255-5 x -64088651-11 x -29131205-55 x -5826241-983 x -325985-4915 x -65197-5927 x -54065-10813 x -29635


How do I find the factor combinations of the number 320,443,255?

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 320,443,255, 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.

1 320,443,255
-1 -320,443,255

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 320,443,255.

Example:
1 x 320,443,255 = 320,443,255
and
-1 x -320,443,255 = 320,443,255
Notice both answers equal 320,443,255

With that explanation out of the way, let's continue. Next, we take the number 320,443,255 and divide it by 2:

320,443,255 ÷ 2 = 160,221,627.5

If the quotient is a whole number, then 2 and 160,221,627.5 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:

1 320,443,255
-1 -320,443,255

Now, we try dividing 320,443,255 by 3:

320,443,255 ÷ 3 = 106,814,418.3333

If the quotient is a whole number, then 3 and 106,814,418.3333 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:

1 320,443,255
-1 -320,443,255

Let's try dividing by 4:

320,443,255 ÷ 4 = 80,110,813.75

If the quotient is a whole number, then 4 and 80,110,813.75 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:

1 320,443,255
-1 320,443,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1511559834,9155,92710,81329,63554,06565,197325,9855,826,24129,131,20564,088,651320,443,255
-1-5-11-55-983-4,915-5,927-10,813-29,635-54,065-65,197-325,985-5,826,241-29,131,205-64,088,651-320,443,255

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