Q: What are the factor combinations of the number 222,542,425?

 A:
Positive:   1 x 2225424255 x 445084857 x 3179177525 x 890169735 x 6358355175 x 1271671
Negative: -1 x -222542425-5 x -44508485-7 x -31791775-25 x -8901697-35 x -6358355-175 x -1271671


How do I find the factor combinations of the number 222,542,425?

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 222,542,425, 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.

1 222,542,425
-1 -222,542,425

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 222,542,425.

Example:
1 x 222,542,425 = 222,542,425
and
-1 x -222,542,425 = 222,542,425
Notice both answers equal 222,542,425

With that explanation out of the way, let's continue. Next, we take the number 222,542,425 and divide it by 2:

222,542,425 ÷ 2 = 111,271,212.5

If the quotient is a whole number, then 2 and 111,271,212.5 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:

1 222,542,425
-1 -222,542,425

Now, we try dividing 222,542,425 by 3:

222,542,425 ÷ 3 = 74,180,808.3333

If the quotient is a whole number, then 3 and 74,180,808.3333 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:

1 222,542,425
-1 -222,542,425

Let's try dividing by 4:

222,542,425 ÷ 4 = 55,635,606.25

If the quotient is a whole number, then 4 and 55,635,606.25 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:

1 222,542,425
-1 222,542,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351751,271,6716,358,3558,901,69731,791,77544,508,485222,542,425
-1-5-7-25-35-175-1,271,671-6,358,355-8,901,697-31,791,775-44,508,485-222,542,425

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