Q: What are the factor combinations of the number 355,775?

 A:
Positive:   1 x 3557755 x 711557 x 5082519 x 1872525 x 1423135 x 1016595 x 3745107 x 3325133 x 2675175 x 2033475 x 749535 x 665
Negative: -1 x -355775-5 x -71155-7 x -50825-19 x -18725-25 x -14231-35 x -10165-95 x -3745-107 x -3325-133 x -2675-175 x -2033-475 x -749-535 x -665


How do I find the factor combinations of the number 355,775?

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 355,775, 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.

1 355,775
-1 -355,775

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 355,775.

Example:
1 x 355,775 = 355,775
and
-1 x -355,775 = 355,775
Notice both answers equal 355,775

With that explanation out of the way, let's continue. Next, we take the number 355,775 and divide it by 2:

355,775 ÷ 2 = 177,887.5

If the quotient is a whole number, then 2 and 177,887.5 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:

1 355,775
-1 -355,775

Now, we try dividing 355,775 by 3:

355,775 ÷ 3 = 118,591.6667

If the quotient is a whole number, then 3 and 118,591.6667 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:

1 355,775
-1 -355,775

Let's try dividing by 4:

355,775 ÷ 4 = 88,943.75

If the quotient is a whole number, then 4 and 88,943.75 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:

1 355,775
-1 355,775
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951071331754755356657492,0332,6753,3253,74510,16514,23118,72550,82571,155355,775
-1-5-7-19-25-35-95-107-133-175-475-535-665-749-2,033-2,675-3,325-3,745-10,165-14,231-18,725-50,825-71,155-355,775

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