Q: What are the factor combinations of the number 223,142,125?

 A:
Positive:   1 x 2231421255 x 4462842525 x 8925685125 x 1785137131 x 1703375655 x 3406753275 x 6813513627 x 16375
Negative: -1 x -223142125-5 x -44628425-25 x -8925685-125 x -1785137-131 x -1703375-655 x -340675-3275 x -68135-13627 x -16375


How do I find the factor combinations of the number 223,142,125?

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 223,142,125, 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.

1 223,142,125
-1 -223,142,125

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 223,142,125.

Example:
1 x 223,142,125 = 223,142,125
and
-1 x -223,142,125 = 223,142,125
Notice both answers equal 223,142,125

With that explanation out of the way, let's continue. Next, we take the number 223,142,125 and divide it by 2:

223,142,125 ÷ 2 = 111,571,062.5

If the quotient is a whole number, then 2 and 111,571,062.5 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:

1 223,142,125
-1 -223,142,125

Now, we try dividing 223,142,125 by 3:

223,142,125 ÷ 3 = 74,380,708.3333

If the quotient is a whole number, then 3 and 74,380,708.3333 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:

1 223,142,125
-1 -223,142,125

Let's try dividing by 4:

223,142,125 ÷ 4 = 55,785,531.25

If the quotient is a whole number, then 4 and 55,785,531.25 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:

1 223,142,125
-1 223,142,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251316553,27513,62716,37568,135340,6751,703,3751,785,1378,925,68544,628,425223,142,125
-1-5-25-125-131-655-3,275-13,627-16,375-68,135-340,675-1,703,375-1,785,137-8,925,685-44,628,425-223,142,125

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