Q: What are the factor combinations of the number 1,422,485?

 A:
Positive:   1 x 14224855 x 28449771 x 20035355 x 4007
Negative: -1 x -1422485-5 x -284497-71 x -20035-355 x -4007


How do I find the factor combinations of the number 1,422,485?

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 1,422,485, 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 1,422,485
-1 -1,422,485

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 1,422,485.

Example:
1 x 1,422,485 = 1,422,485
and
-1 x -1,422,485 = 1,422,485
Notice both answers equal 1,422,485

With that explanation out of the way, let's continue. Next, we take the number 1,422,485 and divide it by 2:

1,422,485 ÷ 2 = 711,242.5

If the quotient is a whole number, then 2 and 711,242.5 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 1,422,485
-1 -1,422,485

Now, we try dividing 1,422,485 by 3:

1,422,485 ÷ 3 = 474,161.6667

If the quotient is a whole number, then 3 and 474,161.6667 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 1,422,485
-1 -1,422,485

Let's try dividing by 4:

1,422,485 ÷ 4 = 355,621.25

If the quotient is a whole number, then 4 and 355,621.25 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 1,422,485
-1 1,422,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15713554,00720,035284,4971,422,485
-1-5-71-355-4,007-20,035-284,497-1,422,485

More Examples

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