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

 A:
Positive:   1 x 2224255 x 444857 x 3177525 x 889731 x 717535 x 635541 x 5425155 x 1435175 x 1271205 x 1085217 x 1025287 x 775
Negative: -1 x -222425-5 x -44485-7 x -31775-25 x -8897-31 x -7175-35 x -6355-41 x -5425-155 x -1435-175 x -1271-205 x -1085-217 x -1025-287 x -775


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

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 222,425, 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.

1 222,425
-1 -222,425

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 222,425.

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

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

222,425 ÷ 2 = 111,212.5

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

1 222,425
-1 -222,425

Now, we try dividing 222,425 by 3:

222,425 ÷ 3 = 74,141.6667

If the quotient is a whole number, then 3 and 74,141.6667 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:

1 222,425
-1 -222,425

Let's try dividing by 4:

222,425 ÷ 4 = 55,606.25

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

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

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

157253135411551752052172877751,0251,0851,2711,4355,4256,3557,1758,89731,77544,485222,425
-1-5-7-25-31-35-41-155-175-205-217-287-775-1,025-1,085-1,271-1,435-5,425-6,355-7,175-8,897-31,775-44,485-222,425

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