Q: What are the factor combinations of the number 1,020,833?

 A:
Positive:   1 x 102083311 x 9280317 x 6004953 x 19261103 x 9911187 x 5459583 x 1751901 x 1133
Negative: -1 x -1020833-11 x -92803-17 x -60049-53 x -19261-103 x -9911-187 x -5459-583 x -1751-901 x -1133


How do I find the factor combinations of the number 1,020,833?

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 1,020,833, 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 1,020,833
-1 -1,020,833

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 1,020,833.

Example:
1 x 1,020,833 = 1,020,833
and
-1 x -1,020,833 = 1,020,833
Notice both answers equal 1,020,833

With that explanation out of the way, let's continue. Next, we take the number 1,020,833 and divide it by 2:

1,020,833 ÷ 2 = 510,416.5

If the quotient is a whole number, then 2 and 510,416.5 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 1,020,833
-1 -1,020,833

Now, we try dividing 1,020,833 by 3:

1,020,833 ÷ 3 = 340,277.6667

If the quotient is a whole number, then 3 and 340,277.6667 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 1,020,833
-1 -1,020,833

Let's try dividing by 4:

1,020,833 ÷ 4 = 255,208.25

If the quotient is a whole number, then 4 and 255,208.25 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 1,020,833
-1 1,020,833
Keep dividing by the next highest number until you cannot divide anymore.

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

11117531031875839011,1331,7515,4599,91119,26160,04992,8031,020,833
-1-11-17-53-103-187-583-901-1,133-1,751-5,459-9,911-19,261-60,049-92,803-1,020,833

More Examples

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