Q: What are the factor combinations of the number 340,204,423?

 A:
Positive:   1 x 34020442313 x 2616957129 x 11731187377 x 902399379 x 8976372381 x 1428834927 x 6904910991 x 30953
Negative: -1 x -340204423-13 x -26169571-29 x -11731187-377 x -902399-379 x -897637-2381 x -142883-4927 x -69049-10991 x -30953


How do I find the factor combinations of the number 340,204,423?

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 340,204,423, 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.

1 340,204,423
-1 -340,204,423

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 340,204,423.

Example:
1 x 340,204,423 = 340,204,423
and
-1 x -340,204,423 = 340,204,423
Notice both answers equal 340,204,423

With that explanation out of the way, let's continue. Next, we take the number 340,204,423 and divide it by 2:

340,204,423 ÷ 2 = 170,102,211.5

If the quotient is a whole number, then 2 and 170,102,211.5 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:

1 340,204,423
-1 -340,204,423

Now, we try dividing 340,204,423 by 3:

340,204,423 ÷ 3 = 113,401,474.3333

If the quotient is a whole number, then 3 and 113,401,474.3333 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:

1 340,204,423
-1 -340,204,423

Let's try dividing by 4:

340,204,423 ÷ 4 = 85,051,105.75

If the quotient is a whole number, then 4 and 85,051,105.75 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:

1 340,204,423
-1 340,204,423
Keep dividing by the next highest number until you cannot divide anymore.

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

113293773792,3814,92710,99130,95369,049142,883897,637902,39911,731,18726,169,571340,204,423
-1-13-29-377-379-2,381-4,927-10,991-30,953-69,049-142,883-897,637-902,399-11,731,187-26,169,571-340,204,423

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