Q: What are the factor combinations of the number 340,336,139?

 A:
Positive:   1 x 34033613911 x 3093964913 x 26179703143 x 2379973
Negative: -1 x -340336139-11 x -30939649-13 x -26179703-143 x -2379973


How do I find the factor combinations of the number 340,336,139?

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 340,336,139, 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.

1 340,336,139
-1 -340,336,139

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 340,336,139.

Example:
1 x 340,336,139 = 340,336,139
and
-1 x -340,336,139 = 340,336,139
Notice both answers equal 340,336,139

With that explanation out of the way, let's continue. Next, we take the number 340,336,139 and divide it by 2:

340,336,139 ÷ 2 = 170,168,069.5

If the quotient is a whole number, then 2 and 170,168,069.5 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:

1 340,336,139
-1 -340,336,139

Now, we try dividing 340,336,139 by 3:

340,336,139 ÷ 3 = 113,445,379.6667

If the quotient is a whole number, then 3 and 113,445,379.6667 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:

1 340,336,139
-1 -340,336,139

Let's try dividing by 4:

340,336,139 ÷ 4 = 85,084,034.75

If the quotient is a whole number, then 4 and 85,084,034.75 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:

1 340,336,139
-1 340,336,139
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432,379,97326,179,70330,939,649340,336,139
-1-11-13-143-2,379,973-26,179,703-30,939,649-340,336,139

More Examples

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