Q: What are the factor combinations of the number 1,220,807?

 A:
Positive:   1 x 12208077 x 17440119 x 6425367 x 18221133 x 9179137 x 8911469 x 2603959 x 1273
Negative: -1 x -1220807-7 x -174401-19 x -64253-67 x -18221-133 x -9179-137 x -8911-469 x -2603-959 x -1273


How do I find the factor combinations of the number 1,220,807?

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 1,220,807, 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 1,220,807
-1 -1,220,807

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 1,220,807.

Example:
1 x 1,220,807 = 1,220,807
and
-1 x -1,220,807 = 1,220,807
Notice both answers equal 1,220,807

With that explanation out of the way, let's continue. Next, we take the number 1,220,807 and divide it by 2:

1,220,807 ÷ 2 = 610,403.5

If the quotient is a whole number, then 2 and 610,403.5 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 1,220,807
-1 -1,220,807

Now, we try dividing 1,220,807 by 3:

1,220,807 ÷ 3 = 406,935.6667

If the quotient is a whole number, then 3 and 406,935.6667 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 1,220,807
-1 -1,220,807

Let's try dividing by 4:

1,220,807 ÷ 4 = 305,201.75

If the quotient is a whole number, then 4 and 305,201.75 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 1,220,807
-1 1,220,807
Keep dividing by the next highest number until you cannot divide anymore.

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

1719671331374699591,2732,6038,9119,17918,22164,253174,4011,220,807
-1-7-19-67-133-137-469-959-1,273-2,603-8,911-9,179-18,221-64,253-174,401-1,220,807

More Examples

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