Q: What are the factor combinations of the number 344,137,375?

 A:
Positive:   1 x 3441373755 x 6882747517 x 2024337525 x 1376549585 x 4048675125 x 2753099425 x 8097352125 x 161947
Negative: -1 x -344137375-5 x -68827475-17 x -20243375-25 x -13765495-85 x -4048675-125 x -2753099-425 x -809735-2125 x -161947


How do I find the factor combinations of the number 344,137,375?

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 344,137,375, 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.

1 344,137,375
-1 -344,137,375

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 344,137,375.

Example:
1 x 344,137,375 = 344,137,375
and
-1 x -344,137,375 = 344,137,375
Notice both answers equal 344,137,375

With that explanation out of the way, let's continue. Next, we take the number 344,137,375 and divide it by 2:

344,137,375 ÷ 2 = 172,068,687.5

If the quotient is a whole number, then 2 and 172,068,687.5 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:

1 344,137,375
-1 -344,137,375

Now, we try dividing 344,137,375 by 3:

344,137,375 ÷ 3 = 114,712,458.3333

If the quotient is a whole number, then 3 and 114,712,458.3333 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:

1 344,137,375
-1 -344,137,375

Let's try dividing by 4:

344,137,375 ÷ 4 = 86,034,343.75

If the quotient is a whole number, then 4 and 86,034,343.75 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:

1 344,137,375
-1 344,137,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,125161,947809,7352,753,0994,048,67513,765,49520,243,37568,827,475344,137,375
-1-5-17-25-85-125-425-2,125-161,947-809,735-2,753,099-4,048,675-13,765,495-20,243,375-68,827,475-344,137,375

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