Q: What are the factor combinations of the number 1,062,425?

 A:
Positive:   1 x 10624255 x 2124857 x 15177513 x 8172525 x 4249735 x 3035565 x 1634591 x 11675175 x 6071325 x 3269455 x 2335467 x 2275
Negative: -1 x -1062425-5 x -212485-7 x -151775-13 x -81725-25 x -42497-35 x -30355-65 x -16345-91 x -11675-175 x -6071-325 x -3269-455 x -2335-467 x -2275


How do I find the factor combinations of the number 1,062,425?

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 1,062,425, 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 1,062,425
-1 -1,062,425

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 1,062,425.

Example:
1 x 1,062,425 = 1,062,425
and
-1 x -1,062,425 = 1,062,425
Notice both answers equal 1,062,425

With that explanation out of the way, let's continue. Next, we take the number 1,062,425 and divide it by 2:

1,062,425 ÷ 2 = 531,212.5

If the quotient is a whole number, then 2 and 531,212.5 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 1,062,425
-1 -1,062,425

Now, we try dividing 1,062,425 by 3:

1,062,425 ÷ 3 = 354,141.6667

If the quotient is a whole number, then 3 and 354,141.6667 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 1,062,425
-1 -1,062,425

Let's try dividing by 4:

1,062,425 ÷ 4 = 265,606.25

If the quotient is a whole number, then 4 and 265,606.25 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 1,062,425
-1 1,062,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254554672,2752,3353,2696,07111,67516,34530,35542,49781,725151,775212,4851,062,425
-1-5-7-13-25-35-65-91-175-325-455-467-2,275-2,335-3,269-6,071-11,675-16,345-30,355-42,497-81,725-151,775-212,485-1,062,425

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