Q: What are the factor combinations of the number 346,062,871?

 A:
Positive:   1 x 3460628717 x 4943755311 x 3146026177 x 4494323283 x 12228371981 x 1746913113 x 11116715881 x 21791
Negative: -1 x -346062871-7 x -49437553-11 x -31460261-77 x -4494323-283 x -1222837-1981 x -174691-3113 x -111167-15881 x -21791


How do I find the factor combinations of the number 346,062,871?

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 346,062,871, 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.

1 346,062,871
-1 -346,062,871

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 346,062,871.

Example:
1 x 346,062,871 = 346,062,871
and
-1 x -346,062,871 = 346,062,871
Notice both answers equal 346,062,871

With that explanation out of the way, let's continue. Next, we take the number 346,062,871 and divide it by 2:

346,062,871 ÷ 2 = 173,031,435.5

If the quotient is a whole number, then 2 and 173,031,435.5 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:

1 346,062,871
-1 -346,062,871

Now, we try dividing 346,062,871 by 3:

346,062,871 ÷ 3 = 115,354,290.3333

If the quotient is a whole number, then 3 and 115,354,290.3333 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:

1 346,062,871
-1 -346,062,871

Let's try dividing by 4:

346,062,871 ÷ 4 = 86,515,717.75

If the quotient is a whole number, then 4 and 86,515,717.75 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:

1 346,062,871
-1 346,062,871
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772831,9813,11315,88121,791111,167174,6911,222,8374,494,32331,460,26149,437,553346,062,871
-1-7-11-77-283-1,981-3,113-15,881-21,791-111,167-174,691-1,222,837-4,494,323-31,460,261-49,437,553-346,062,871

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