Q: What are the factor combinations of the number 346,775?

 A:
Positive:   1 x 3467755 x 6935511 x 3152513 x 2667525 x 1387155 x 630565 x 533597 x 3575143 x 2425275 x 1261325 x 1067485 x 715
Negative: -1 x -346775-5 x -69355-11 x -31525-13 x -26675-25 x -13871-55 x -6305-65 x -5335-97 x -3575-143 x -2425-275 x -1261-325 x -1067-485 x -715


How do I find the factor combinations of the number 346,775?

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 346,775, 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.

1 346,775
-1 -346,775

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 346,775.

Example:
1 x 346,775 = 346,775
and
-1 x -346,775 = 346,775
Notice both answers equal 346,775

With that explanation out of the way, let's continue. Next, we take the number 346,775 and divide it by 2:

346,775 ÷ 2 = 173,387.5

If the quotient is a whole number, then 2 and 173,387.5 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:

1 346,775
-1 -346,775

Now, we try dividing 346,775 by 3:

346,775 ÷ 3 = 115,591.6667

If the quotient is a whole number, then 3 and 115,591.6667 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:

1 346,775
-1 -346,775

Let's try dividing by 4:

346,775 ÷ 4 = 86,693.75

If the quotient is a whole number, then 4 and 86,693.75 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:

1 346,775
-1 346,775
Keep dividing by the next highest number until you cannot divide anymore.

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

151113255565971432753254857151,0671,2612,4253,5755,3356,30513,87126,67531,52569,355346,775
-1-5-11-13-25-55-65-97-143-275-325-485-715-1,067-1,261-2,425-3,575-5,335-6,305-13,871-26,675-31,525-69,355-346,775

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