Q: What are the factor combinations of the number 96,250,375?

 A:
Positive:   1 x 962503755 x 1925007513 x 740387525 x 385001561 x 157787565 x 1480775125 x 770003305 x 315575325 x 296155793 x 121375971 x 991251525 x 631151625 x 592313965 x 242754855 x 198257625 x 12623
Negative: -1 x -96250375-5 x -19250075-13 x -7403875-25 x -3850015-61 x -1577875-65 x -1480775-125 x -770003-305 x -315575-325 x -296155-793 x -121375-971 x -99125-1525 x -63115-1625 x -59231-3965 x -24275-4855 x -19825-7625 x -12623


How do I find the factor combinations of the number 96,250,375?

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 96,250,375, 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 96,250,375
-1 -96,250,375

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 96,250,375.

Example:
1 x 96,250,375 = 96,250,375
and
-1 x -96,250,375 = 96,250,375
Notice both answers equal 96,250,375

With that explanation out of the way, let's continue. Next, we take the number 96,250,375 and divide it by 2:

96,250,375 ÷ 2 = 48,125,187.5

If the quotient is a whole number, then 2 and 48,125,187.5 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 96,250,375
-1 -96,250,375

Now, we try dividing 96,250,375 by 3:

96,250,375 ÷ 3 = 32,083,458.3333

If the quotient is a whole number, then 3 and 32,083,458.3333 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 96,250,375
-1 -96,250,375

Let's try dividing by 4:

96,250,375 ÷ 4 = 24,062,593.75

If the quotient is a whole number, then 4 and 24,062,593.75 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 96,250,375
-1 96,250,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15132561651253053257939711,5251,6253,9654,8557,62512,62319,82524,27559,23163,11599,125121,375296,155315,575770,0031,480,7751,577,8753,850,0157,403,87519,250,07596,250,375
-1-5-13-25-61-65-125-305-325-793-971-1,525-1,625-3,965-4,855-7,625-12,623-19,825-24,275-59,231-63,115-99,125-121,375-296,155-315,575-770,003-1,480,775-1,577,875-3,850,015-7,403,875-19,250,075-96,250,375

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