Q: What are the factor combinations of the number 25,502,125?

 A:
Positive:   1 x 255021255 x 510042511 x 231837517 x 150012525 x 102008555 x 46367585 x 300025125 x 204017187 x 136375275 x 92735425 x 60005935 x 272751091 x 233751375 x 185472125 x 120014675 x 5455
Negative: -1 x -25502125-5 x -5100425-11 x -2318375-17 x -1500125-25 x -1020085-55 x -463675-85 x -300025-125 x -204017-187 x -136375-275 x -92735-425 x -60005-935 x -27275-1091 x -23375-1375 x -18547-2125 x -12001-4675 x -5455


How do I find the factor combinations of the number 25,502,125?

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 25,502,125, 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 25,502,125
-1 -25,502,125

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 25,502,125.

Example:
1 x 25,502,125 = 25,502,125
and
-1 x -25,502,125 = 25,502,125
Notice both answers equal 25,502,125

With that explanation out of the way, let's continue. Next, we take the number 25,502,125 and divide it by 2:

25,502,125 ÷ 2 = 12,751,062.5

If the quotient is a whole number, then 2 and 12,751,062.5 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 25,502,125
-1 -25,502,125

Now, we try dividing 25,502,125 by 3:

25,502,125 ÷ 3 = 8,500,708.3333

If the quotient is a whole number, then 3 and 8,500,708.3333 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 25,502,125
-1 -25,502,125

Let's try dividing by 4:

25,502,125 ÷ 4 = 6,375,531.25

If the quotient is a whole number, then 4 and 6,375,531.25 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 25,502,125
-1 25,502,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851251872754259351,0911,3752,1254,6755,45512,00118,54723,37527,27560,00592,735136,375204,017300,025463,6751,020,0851,500,1252,318,3755,100,42525,502,125
-1-5-11-17-25-55-85-125-187-275-425-935-1,091-1,375-2,125-4,675-5,455-12,001-18,547-23,375-27,275-60,005-92,735-136,375-204,017-300,025-463,675-1,020,085-1,500,125-2,318,375-5,100,425-25,502,125

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