Q: What are the factor combinations of the number 246,042,343?

 A:
Positive:   1 x 24604234317 x 1447307919 x 1294959797 x 2536519323 x 7617411649 x 1492071843 x 1335017853 x 31331
Negative: -1 x -246042343-17 x -14473079-19 x -12949597-97 x -2536519-323 x -761741-1649 x -149207-1843 x -133501-7853 x -31331


How do I find the factor combinations of the number 246,042,343?

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 246,042,343, 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.

1 246,042,343
-1 -246,042,343

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 246,042,343.

Example:
1 x 246,042,343 = 246,042,343
and
-1 x -246,042,343 = 246,042,343
Notice both answers equal 246,042,343

With that explanation out of the way, let's continue. Next, we take the number 246,042,343 and divide it by 2:

246,042,343 ÷ 2 = 123,021,171.5

If the quotient is a whole number, then 2 and 123,021,171.5 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:

1 246,042,343
-1 -246,042,343

Now, we try dividing 246,042,343 by 3:

246,042,343 ÷ 3 = 82,014,114.3333

If the quotient is a whole number, then 3 and 82,014,114.3333 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:

1 246,042,343
-1 -246,042,343

Let's try dividing by 4:

246,042,343 ÷ 4 = 61,510,585.75

If the quotient is a whole number, then 4 and 61,510,585.75 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:

1 246,042,343
-1 246,042,343
Keep dividing by the next highest number until you cannot divide anymore.

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

11719973231,6491,8437,85331,331133,501149,207761,7412,536,51912,949,59714,473,079246,042,343
-1-17-19-97-323-1,649-1,843-7,853-31,331-133,501-149,207-761,741-2,536,519-12,949,597-14,473,079-246,042,343

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