Q: What are the factor combinations of the number 341,000,023?

 A:
Positive:   1 x 3410000237 x 4871428913 x 2623077191 x 3747253347 x 9827092429 x 1403874511 x 7559310799 x 31577
Negative: -1 x -341000023-7 x -48714289-13 x -26230771-91 x -3747253-347 x -982709-2429 x -140387-4511 x -75593-10799 x -31577


How do I find the factor combinations of the number 341,000,023?

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 341,000,023, 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.

1 341,000,023
-1 -341,000,023

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 341,000,023.

Example:
1 x 341,000,023 = 341,000,023
and
-1 x -341,000,023 = 341,000,023
Notice both answers equal 341,000,023

With that explanation out of the way, let's continue. Next, we take the number 341,000,023 and divide it by 2:

341,000,023 ÷ 2 = 170,500,011.5

If the quotient is a whole number, then 2 and 170,500,011.5 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:

1 341,000,023
-1 -341,000,023

Now, we try dividing 341,000,023 by 3:

341,000,023 ÷ 3 = 113,666,674.3333

If the quotient is a whole number, then 3 and 113,666,674.3333 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:

1 341,000,023
-1 -341,000,023

Let's try dividing by 4:

341,000,023 ÷ 4 = 85,250,005.75

If the quotient is a whole number, then 4 and 85,250,005.75 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:

1 341,000,023
-1 341,000,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913472,4294,51110,79931,57775,593140,387982,7093,747,25326,230,77148,714,289341,000,023
-1-7-13-91-347-2,429-4,511-10,799-31,577-75,593-140,387-982,709-3,747,253-26,230,771-48,714,289-341,000,023

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