Q: What are the factor combinations of the number 340,504,121?

 A:
Positive:   1 x 34050412123 x 1480452789 x 3825889397 x 857693419 x 8126592047 x 1663439131 x 372919637 x 35333
Negative: -1 x -340504121-23 x -14804527-89 x -3825889-397 x -857693-419 x -812659-2047 x -166343-9131 x -37291-9637 x -35333


How do I find the factor combinations of the number 340,504,121?

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 340,504,121, 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.

1 340,504,121
-1 -340,504,121

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 340,504,121.

Example:
1 x 340,504,121 = 340,504,121
and
-1 x -340,504,121 = 340,504,121
Notice both answers equal 340,504,121

With that explanation out of the way, let's continue. Next, we take the number 340,504,121 and divide it by 2:

340,504,121 ÷ 2 = 170,252,060.5

If the quotient is a whole number, then 2 and 170,252,060.5 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:

1 340,504,121
-1 -340,504,121

Now, we try dividing 340,504,121 by 3:

340,504,121 ÷ 3 = 113,501,373.6667

If the quotient is a whole number, then 3 and 113,501,373.6667 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:

1 340,504,121
-1 -340,504,121

Let's try dividing by 4:

340,504,121 ÷ 4 = 85,126,030.25

If the quotient is a whole number, then 4 and 85,126,030.25 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:

1 340,504,121
-1 340,504,121
Keep dividing by the next highest number until you cannot divide anymore.

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

123893974192,0479,1319,63735,33337,291166,343812,659857,6933,825,88914,804,527340,504,121
-1-23-89-397-419-2,047-9,131-9,637-35,333-37,291-166,343-812,659-857,693-3,825,889-14,804,527-340,504,121

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