Q: What are the factor combinations of the number 280,310,375?

 A:
Positive:   1 x 2803103755 x 5606207525 x 1121241529 x 966587553 x 5288875125 x 2242483145 x 1933175265 x 1057775725 x 3866351325 x 2115551459 x 1921251537 x 1823753625 x 773276625 x 423117295 x 384257685 x 36475
Negative: -1 x -280310375-5 x -56062075-25 x -11212415-29 x -9665875-53 x -5288875-125 x -2242483-145 x -1933175-265 x -1057775-725 x -386635-1325 x -211555-1459 x -192125-1537 x -182375-3625 x -77327-6625 x -42311-7295 x -38425-7685 x -36475


How do I find the factor combinations of the number 280,310,375?

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 280,310,375, 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.

1 280,310,375
-1 -280,310,375

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 280,310,375.

Example:
1 x 280,310,375 = 280,310,375
and
-1 x -280,310,375 = 280,310,375
Notice both answers equal 280,310,375

With that explanation out of the way, let's continue. Next, we take the number 280,310,375 and divide it by 2:

280,310,375 ÷ 2 = 140,155,187.5

If the quotient is a whole number, then 2 and 140,155,187.5 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:

1 280,310,375
-1 -280,310,375

Now, we try dividing 280,310,375 by 3:

280,310,375 ÷ 3 = 93,436,791.6667

If the quotient is a whole number, then 3 and 93,436,791.6667 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:

1 280,310,375
-1 -280,310,375

Let's try dividing by 4:

280,310,375 ÷ 4 = 70,077,593.75

If the quotient is a whole number, then 4 and 70,077,593.75 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:

1 280,310,375
-1 280,310,375
Keep dividing by the next highest number until you cannot divide anymore.

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

152529531251452657251,3251,4591,5373,6256,6257,2957,68536,47538,42542,31177,327182,375192,125211,555386,6351,057,7751,933,1752,242,4835,288,8759,665,87511,212,41556,062,075280,310,375
-1-5-25-29-53-125-145-265-725-1,325-1,459-1,537-3,625-6,625-7,295-7,685-36,475-38,425-42,311-77,327-182,375-192,125-211,555-386,635-1,057,775-1,933,175-2,242,483-5,288,875-9,665,875-11,212,415-56,062,075-280,310,375

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