Q: What are the factor combinations of the number 340,242,139?

 A:
Positive:   1 x 34024213919 x 1790748153 x 6419663361 x 9424991007 x 33787717783 x 19133
Negative: -1 x -340242139-19 x -17907481-53 x -6419663-361 x -942499-1007 x -337877-17783 x -19133


How do I find the factor combinations of the number 340,242,139?

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 340,242,139, 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.

1 340,242,139
-1 -340,242,139

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 340,242,139.

Example:
1 x 340,242,139 = 340,242,139
and
-1 x -340,242,139 = 340,242,139
Notice both answers equal 340,242,139

With that explanation out of the way, let's continue. Next, we take the number 340,242,139 and divide it by 2:

340,242,139 ÷ 2 = 170,121,069.5

If the quotient is a whole number, then 2 and 170,121,069.5 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:

1 340,242,139
-1 -340,242,139

Now, we try dividing 340,242,139 by 3:

340,242,139 ÷ 3 = 113,414,046.3333

If the quotient is a whole number, then 3 and 113,414,046.3333 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:

1 340,242,139
-1 -340,242,139

Let's try dividing by 4:

340,242,139 ÷ 4 = 85,060,534.75

If the quotient is a whole number, then 4 and 85,060,534.75 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:

1 340,242,139
-1 340,242,139
Keep dividing by the next highest number until you cannot divide anymore.

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

119533611,00717,78319,133337,877942,4996,419,66317,907,481340,242,139
-1-19-53-361-1,007-17,783-19,133-337,877-942,499-6,419,663-17,907,481-340,242,139

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