Q: What are the factor combinations of the number 55,250,425?

 A:
Positive:   1 x 552504255 x 1105008517 x 325002525 x 221001771 x 77817585 x 650005355 x 155635425 x 1300011207 x 457751775 x 311271831 x 301756035 x 9155
Negative: -1 x -55250425-5 x -11050085-17 x -3250025-25 x -2210017-71 x -778175-85 x -650005-355 x -155635-425 x -130001-1207 x -45775-1775 x -31127-1831 x -30175-6035 x -9155


How do I find the factor combinations of the number 55,250,425?

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 55,250,425, 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 55,250,425
-1 -55,250,425

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 55,250,425.

Example:
1 x 55,250,425 = 55,250,425
and
-1 x -55,250,425 = 55,250,425
Notice both answers equal 55,250,425

With that explanation out of the way, let's continue. Next, we take the number 55,250,425 and divide it by 2:

55,250,425 ÷ 2 = 27,625,212.5

If the quotient is a whole number, then 2 and 27,625,212.5 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 55,250,425
-1 -55,250,425

Now, we try dividing 55,250,425 by 3:

55,250,425 ÷ 3 = 18,416,808.3333

If the quotient is a whole number, then 3 and 18,416,808.3333 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 55,250,425
-1 -55,250,425

Let's try dividing by 4:

55,250,425 ÷ 4 = 13,812,606.25

If the quotient is a whole number, then 4 and 13,812,606.25 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 55,250,425
-1 55,250,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15172571853554251,2071,7751,8316,0359,15530,17531,12745,775130,001155,635650,005778,1752,210,0173,250,02511,050,08555,250,425
-1-5-17-25-71-85-355-425-1,207-1,775-1,831-6,035-9,155-30,175-31,127-45,775-130,001-155,635-650,005-778,175-2,210,017-3,250,025-11,050,085-55,250,425

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