Q: What are the factor combinations of the number 1,021,163?

 A:
Positive:   1 x 102116311 x 9283313 x 7855137 x 27599143 x 7141193 x 5291407 x 2509481 x 2123
Negative: -1 x -1021163-11 x -92833-13 x -78551-37 x -27599-143 x -7141-193 x -5291-407 x -2509-481 x -2123


How do I find the factor combinations of the number 1,021,163?

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 1,021,163, 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 1,021,163
-1 -1,021,163

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 1,021,163.

Example:
1 x 1,021,163 = 1,021,163
and
-1 x -1,021,163 = 1,021,163
Notice both answers equal 1,021,163

With that explanation out of the way, let's continue. Next, we take the number 1,021,163 and divide it by 2:

1,021,163 ÷ 2 = 510,581.5

If the quotient is a whole number, then 2 and 510,581.5 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 1,021,163
-1 -1,021,163

Now, we try dividing 1,021,163 by 3:

1,021,163 ÷ 3 = 340,387.6667

If the quotient is a whole number, then 3 and 340,387.6667 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 1,021,163
-1 -1,021,163

Let's try dividing by 4:

1,021,163 ÷ 4 = 255,290.75

If the quotient is a whole number, then 4 and 255,290.75 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 1,021,163
-1 1,021,163
Keep dividing by the next highest number until you cannot divide anymore.

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

11113371431934074812,1232,5095,2917,14127,59978,55192,8331,021,163
-1-11-13-37-143-193-407-481-2,123-2,509-5,291-7,141-27,599-78,551-92,833-1,021,163

More Examples

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