Q: What are the factor combinations of the number 1,673,707?

 A:
Positive:   1 x 16737077 x 239101181 x 92471267 x 1321
Negative: -1 x -1673707-7 x -239101-181 x -9247-1267 x -1321


How do I find the factor combinations of the number 1,673,707?

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 1,673,707, 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 1,673,707
-1 -1,673,707

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 1,673,707.

Example:
1 x 1,673,707 = 1,673,707
and
-1 x -1,673,707 = 1,673,707
Notice both answers equal 1,673,707

With that explanation out of the way, let's continue. Next, we take the number 1,673,707 and divide it by 2:

1,673,707 ÷ 2 = 836,853.5

If the quotient is a whole number, then 2 and 836,853.5 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 1,673,707
-1 -1,673,707

Now, we try dividing 1,673,707 by 3:

1,673,707 ÷ 3 = 557,902.3333

If the quotient is a whole number, then 3 and 557,902.3333 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 1,673,707
-1 -1,673,707

Let's try dividing by 4:

1,673,707 ÷ 4 = 418,426.75

If the quotient is a whole number, then 4 and 418,426.75 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 1,673,707
-1 1,673,707
Keep dividing by the next highest number until you cannot divide anymore.

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

171811,2671,3219,247239,1011,673,707
-1-7-181-1,267-1,321-9,247-239,101-1,673,707

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,673,707:


Ask a Question