Q: What are the factor combinations of the number 320,255,335?

 A:
Positive:   1 x 3202553355 x 6405106723 x 1392414579 x 4053865115 x 2784829395 x 8107731817 x 1762559085 x 35251
Negative: -1 x -320255335-5 x -64051067-23 x -13924145-79 x -4053865-115 x -2784829-395 x -810773-1817 x -176255-9085 x -35251


How do I find the factor combinations of the number 320,255,335?

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 320,255,335, 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.

1 320,255,335
-1 -320,255,335

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 320,255,335.

Example:
1 x 320,255,335 = 320,255,335
and
-1 x -320,255,335 = 320,255,335
Notice both answers equal 320,255,335

With that explanation out of the way, let's continue. Next, we take the number 320,255,335 and divide it by 2:

320,255,335 ÷ 2 = 160,127,667.5

If the quotient is a whole number, then 2 and 160,127,667.5 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:

1 320,255,335
-1 -320,255,335

Now, we try dividing 320,255,335 by 3:

320,255,335 ÷ 3 = 106,751,778.3333

If the quotient is a whole number, then 3 and 106,751,778.3333 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:

1 320,255,335
-1 -320,255,335

Let's try dividing by 4:

320,255,335 ÷ 4 = 80,063,833.75

If the quotient is a whole number, then 4 and 80,063,833.75 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:

1 320,255,335
-1 320,255,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1523791153951,8179,08535,251176,255810,7732,784,8294,053,86513,924,14564,051,067320,255,335
-1-5-23-79-115-395-1,817-9,085-35,251-176,255-810,773-2,784,829-4,053,865-13,924,145-64,051,067-320,255,335

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