Q: What are the factor combinations of the number 342,013,103?

 A:
Positive:   1 x 34201310341 x 834178373 x 4685111229 x 1493507499 x 6853972993 x 1142719389 x 3642716717 x 20459
Negative: -1 x -342013103-41 x -8341783-73 x -4685111-229 x -1493507-499 x -685397-2993 x -114271-9389 x -36427-16717 x -20459


How do I find the factor combinations of the number 342,013,103?

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 342,013,103, 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.

1 342,013,103
-1 -342,013,103

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 342,013,103.

Example:
1 x 342,013,103 = 342,013,103
and
-1 x -342,013,103 = 342,013,103
Notice both answers equal 342,013,103

With that explanation out of the way, let's continue. Next, we take the number 342,013,103 and divide it by 2:

342,013,103 ÷ 2 = 171,006,551.5

If the quotient is a whole number, then 2 and 171,006,551.5 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:

1 342,013,103
-1 -342,013,103

Now, we try dividing 342,013,103 by 3:

342,013,103 ÷ 3 = 114,004,367.6667

If the quotient is a whole number, then 3 and 114,004,367.6667 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:

1 342,013,103
-1 -342,013,103

Let's try dividing by 4:

342,013,103 ÷ 4 = 85,503,275.75

If the quotient is a whole number, then 4 and 85,503,275.75 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:

1 342,013,103
-1 342,013,103
Keep dividing by the next highest number until you cannot divide anymore.

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

141732294992,9939,38916,71720,45936,427114,271685,3971,493,5074,685,1118,341,783342,013,103
-1-41-73-229-499-2,993-9,389-16,717-20,459-36,427-114,271-685,397-1,493,507-4,685,111-8,341,783-342,013,103

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