Q: What are the factor combinations of the number 1,690,799?

 A:
Positive:   1 x 169079911 x 15370923 x 7351341 x 41239163 x 10373253 x 6683451 x 3749943 x 1793
Negative: -1 x -1690799-11 x -153709-23 x -73513-41 x -41239-163 x -10373-253 x -6683-451 x -3749-943 x -1793


How do I find the factor combinations of the number 1,690,799?

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 1,690,799, 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 1,690,799
-1 -1,690,799

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 1,690,799.

Example:
1 x 1,690,799 = 1,690,799
and
-1 x -1,690,799 = 1,690,799
Notice both answers equal 1,690,799

With that explanation out of the way, let's continue. Next, we take the number 1,690,799 and divide it by 2:

1,690,799 ÷ 2 = 845,399.5

If the quotient is a whole number, then 2 and 845,399.5 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 1,690,799
-1 -1,690,799

Now, we try dividing 1,690,799 by 3:

1,690,799 ÷ 3 = 563,599.6667

If the quotient is a whole number, then 3 and 563,599.6667 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 1,690,799
-1 -1,690,799

Let's try dividing by 4:

1,690,799 ÷ 4 = 422,699.75

If the quotient is a whole number, then 4 and 422,699.75 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 1,690,799
-1 1,690,799
Keep dividing by the next highest number until you cannot divide anymore.

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

11123411632534519431,7933,7496,68310,37341,23973,513153,7091,690,799
-1-11-23-41-163-253-451-943-1,793-3,749-6,683-10,373-41,239-73,513-153,709-1,690,799

More Examples

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