Q: What are the factor combinations of the number 1,225,063?

 A:
Positive:   1 x 12250637 x 17500919 x 6447761 x 20083133 x 9211151 x 8113427 x 28691057 x 1159
Negative: -1 x -1225063-7 x -175009-19 x -64477-61 x -20083-133 x -9211-151 x -8113-427 x -2869-1057 x -1159


How do I find the factor combinations of the number 1,225,063?

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 1,225,063, 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 1,225,063
-1 -1,225,063

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 1,225,063.

Example:
1 x 1,225,063 = 1,225,063
and
-1 x -1,225,063 = 1,225,063
Notice both answers equal 1,225,063

With that explanation out of the way, let's continue. Next, we take the number 1,225,063 and divide it by 2:

1,225,063 ÷ 2 = 612,531.5

If the quotient is a whole number, then 2 and 612,531.5 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 1,225,063
-1 -1,225,063

Now, we try dividing 1,225,063 by 3:

1,225,063 ÷ 3 = 408,354.3333

If the quotient is a whole number, then 3 and 408,354.3333 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 1,225,063
-1 -1,225,063

Let's try dividing by 4:

1,225,063 ÷ 4 = 306,265.75

If the quotient is a whole number, then 4 and 306,265.75 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 1,225,063
-1 1,225,063
Keep dividing by the next highest number until you cannot divide anymore.

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

1719611331514271,0571,1592,8698,1139,21120,08364,477175,0091,225,063
-1-7-19-61-133-151-427-1,057-1,159-2,869-8,113-9,211-20,083-64,477-175,009-1,225,063

More Examples

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