Q: What are the factor combinations of the number 342,202,105?

 A:
Positive:   1 x 3422021055 x 684404217 x 4888601535 x 9777203251 x 13633551255 x 2726711757 x 1947658785 x 38953
Negative: -1 x -342202105-5 x -68440421-7 x -48886015-35 x -9777203-251 x -1363355-1255 x -272671-1757 x -194765-8785 x -38953


How do I find the factor combinations of the number 342,202,105?

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 342,202,105, 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.

1 342,202,105
-1 -342,202,105

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 342,202,105.

Example:
1 x 342,202,105 = 342,202,105
and
-1 x -342,202,105 = 342,202,105
Notice both answers equal 342,202,105

With that explanation out of the way, let's continue. Next, we take the number 342,202,105 and divide it by 2:

342,202,105 ÷ 2 = 171,101,052.5

If the quotient is a whole number, then 2 and 171,101,052.5 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:

1 342,202,105
-1 -342,202,105

Now, we try dividing 342,202,105 by 3:

342,202,105 ÷ 3 = 114,067,368.3333

If the quotient is a whole number, then 3 and 114,067,368.3333 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:

1 342,202,105
-1 -342,202,105

Let's try dividing by 4:

342,202,105 ÷ 4 = 85,550,526.25

If the quotient is a whole number, then 4 and 85,550,526.25 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:

1 342,202,105
-1 342,202,105
Keep dividing by the next highest number until you cannot divide anymore.

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

157352511,2551,7578,78538,953194,765272,6711,363,3559,777,20348,886,01568,440,421342,202,105
-1-5-7-35-251-1,255-1,757-8,785-38,953-194,765-272,671-1,363,355-9,777,203-48,886,015-68,440,421-342,202,105

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