Q: What are the factor combinations of the number 1,737,823?

 A:
Positive:   1 x 1737823719 x 2417
Negative: -1 x -1737823-719 x -2417


How do I find the factor combinations of the number 1,737,823?

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 1,737,823, 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 1,737,823
-1 -1,737,823

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 1,737,823.

Example:
1 x 1,737,823 = 1,737,823
and
-1 x -1,737,823 = 1,737,823
Notice both answers equal 1,737,823

With that explanation out of the way, let's continue. Next, we take the number 1,737,823 and divide it by 2:

1,737,823 ÷ 2 = 868,911.5

If the quotient is a whole number, then 2 and 868,911.5 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 1,737,823
-1 -1,737,823

Now, we try dividing 1,737,823 by 3:

1,737,823 ÷ 3 = 579,274.3333

If the quotient is a whole number, then 3 and 579,274.3333 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 1,737,823
-1 -1,737,823

Let's try dividing by 4:

1,737,823 ÷ 4 = 434,455.75

If the quotient is a whole number, then 4 and 434,455.75 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 1,737,823
-1 1,737,823
Keep dividing by the next highest number until you cannot divide anymore.

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

17192,4171,737,823
-1-719-2,417-1,737,823

More Examples

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