Q: What are the factor combinations of the number 1,022,465?

 A:
Positive:   1 x 10224655 x 20449317 x 6014523 x 4445585 x 12029115 x 8891391 x 2615523 x 1955
Negative: -1 x -1022465-5 x -204493-17 x -60145-23 x -44455-85 x -12029-115 x -8891-391 x -2615-523 x -1955


How do I find the factor combinations of the number 1,022,465?

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 1,022,465, 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 1,022,465
-1 -1,022,465

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 1,022,465.

Example:
1 x 1,022,465 = 1,022,465
and
-1 x -1,022,465 = 1,022,465
Notice both answers equal 1,022,465

With that explanation out of the way, let's continue. Next, we take the number 1,022,465 and divide it by 2:

1,022,465 ÷ 2 = 511,232.5

If the quotient is a whole number, then 2 and 511,232.5 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 1,022,465
-1 -1,022,465

Now, we try dividing 1,022,465 by 3:

1,022,465 ÷ 3 = 340,821.6667

If the quotient is a whole number, then 3 and 340,821.6667 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 1,022,465
-1 -1,022,465

Let's try dividing by 4:

1,022,465 ÷ 4 = 255,616.25

If the quotient is a whole number, then 4 and 255,616.25 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 1,022,465
-1 1,022,465
Keep dividing by the next highest number until you cannot divide anymore.

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

151723851153915231,9552,6158,89112,02944,45560,145204,4931,022,465
-1-5-17-23-85-115-391-523-1,955-2,615-8,891-12,029-44,455-60,145-204,493-1,022,465

More Examples

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