Q: What are the factor combinations of the number 22,323,425?

 A:
Positive:   1 x 223234255 x 446468525 x 89293779 x 28257589 x 250825127 x 175775395 x 56515445 x 50165635 x 351551975 x 113032225 x 100333175 x 7031
Negative: -1 x -22323425-5 x -4464685-25 x -892937-79 x -282575-89 x -250825-127 x -175775-395 x -56515-445 x -50165-635 x -35155-1975 x -11303-2225 x -10033-3175 x -7031


How do I find the factor combinations of the number 22,323,425?

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 22,323,425, 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 22,323,425
-1 -22,323,425

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 22,323,425.

Example:
1 x 22,323,425 = 22,323,425
and
-1 x -22,323,425 = 22,323,425
Notice both answers equal 22,323,425

With that explanation out of the way, let's continue. Next, we take the number 22,323,425 and divide it by 2:

22,323,425 ÷ 2 = 11,161,712.5

If the quotient is a whole number, then 2 and 11,161,712.5 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 22,323,425
-1 -22,323,425

Now, we try dividing 22,323,425 by 3:

22,323,425 ÷ 3 = 7,441,141.6667

If the quotient is a whole number, then 3 and 7,441,141.6667 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 22,323,425
-1 -22,323,425

Let's try dividing by 4:

22,323,425 ÷ 4 = 5,580,856.25

If the quotient is a whole number, then 4 and 5,580,856.25 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 22,323,425
-1 22,323,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152579891273954456351,9752,2253,1757,03110,03311,30335,15550,16556,515175,775250,825282,575892,9374,464,68522,323,425
-1-5-25-79-89-127-395-445-635-1,975-2,225-3,175-7,031-10,033-11,303-35,155-50,165-56,515-175,775-250,825-282,575-892,937-4,464,685-22,323,425

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