Q: What are the factor combinations of the number 22,321,325?

 A:
Positive:   1 x 223213255 x 446426513 x 171702525 x 89285365 x 343405173 x 129025325 x 68681397 x 56225865 x 258051985 x 112452249 x 99254325 x 5161
Negative: -1 x -22321325-5 x -4464265-13 x -1717025-25 x -892853-65 x -343405-173 x -129025-325 x -68681-397 x -56225-865 x -25805-1985 x -11245-2249 x -9925-4325 x -5161


How do I find the factor combinations of the number 22,321,325?

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 22,321,325, 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 22,321,325
-1 -22,321,325

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 22,321,325.

Example:
1 x 22,321,325 = 22,321,325
and
-1 x -22,321,325 = 22,321,325
Notice both answers equal 22,321,325

With that explanation out of the way, let's continue. Next, we take the number 22,321,325 and divide it by 2:

22,321,325 ÷ 2 = 11,160,662.5

If the quotient is a whole number, then 2 and 11,160,662.5 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 22,321,325
-1 -22,321,325

Now, we try dividing 22,321,325 by 3:

22,321,325 ÷ 3 = 7,440,441.6667

If the quotient is a whole number, then 3 and 7,440,441.6667 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 22,321,325
-1 -22,321,325

Let's try dividing by 4:

22,321,325 ÷ 4 = 5,580,331.25

If the quotient is a whole number, then 4 and 5,580,331.25 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 22,321,325
-1 22,321,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651733253978651,9852,2494,3255,1619,92511,24525,80556,22568,681129,025343,405892,8531,717,0254,464,26522,321,325
-1-5-13-25-65-173-325-397-865-1,985-2,249-4,325-5,161-9,925-11,245-25,805-56,225-68,681-129,025-343,405-892,853-1,717,025-4,464,265-22,321,325

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