Q: What are the factor combinations of the number 348,331,375?

 A:
Positive:   1 x 3483313755 x 696662757 x 4976162525 x 1393325535 x 9952325125 x 2786651175 x 1990465257 x 1355375875 x 3980931285 x 2710751549 x 2248751799 x 1936256425 x 542157745 x 449758995 x 3872510843 x 32125
Negative: -1 x -348331375-5 x -69666275-7 x -49761625-25 x -13933255-35 x -9952325-125 x -2786651-175 x -1990465-257 x -1355375-875 x -398093-1285 x -271075-1549 x -224875-1799 x -193625-6425 x -54215-7745 x -44975-8995 x -38725-10843 x -32125


How do I find the factor combinations of the number 348,331,375?

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 348,331,375, 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.

1 348,331,375
-1 -348,331,375

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 348,331,375.

Example:
1 x 348,331,375 = 348,331,375
and
-1 x -348,331,375 = 348,331,375
Notice both answers equal 348,331,375

With that explanation out of the way, let's continue. Next, we take the number 348,331,375 and divide it by 2:

348,331,375 ÷ 2 = 174,165,687.5

If the quotient is a whole number, then 2 and 174,165,687.5 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:

1 348,331,375
-1 -348,331,375

Now, we try dividing 348,331,375 by 3:

348,331,375 ÷ 3 = 116,110,458.3333

If the quotient is a whole number, then 3 and 116,110,458.3333 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:

1 348,331,375
-1 -348,331,375

Let's try dividing by 4:

348,331,375 ÷ 4 = 87,082,843.75

If the quotient is a whole number, then 4 and 87,082,843.75 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:

1 348,331,375
-1 348,331,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251752578751,2851,5491,7996,4257,7458,99510,84332,12538,72544,97554,215193,625224,875271,075398,0931,355,3751,990,4652,786,6519,952,32513,933,25549,761,62569,666,275348,331,375
-1-5-7-25-35-125-175-257-875-1,285-1,549-1,799-6,425-7,745-8,995-10,843-32,125-38,725-44,975-54,215-193,625-224,875-271,075-398,093-1,355,375-1,990,465-2,786,651-9,952,325-13,933,255-49,761,625-69,666,275-348,331,375

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