Q: What are the factor combinations of the number 1,423,799?

 A:
Positive:   1 x 142379913 x 10952331 x 45929403 x 3533
Negative: -1 x -1423799-13 x -109523-31 x -45929-403 x -3533


How do I find the factor combinations of the number 1,423,799?

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 1,423,799, 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 1,423,799
-1 -1,423,799

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 1,423,799.

Example:
1 x 1,423,799 = 1,423,799
and
-1 x -1,423,799 = 1,423,799
Notice both answers equal 1,423,799

With that explanation out of the way, let's continue. Next, we take the number 1,423,799 and divide it by 2:

1,423,799 ÷ 2 = 711,899.5

If the quotient is a whole number, then 2 and 711,899.5 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 1,423,799
-1 -1,423,799

Now, we try dividing 1,423,799 by 3:

1,423,799 ÷ 3 = 474,599.6667

If the quotient is a whole number, then 3 and 474,599.6667 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 1,423,799
-1 -1,423,799

Let's try dividing by 4:

1,423,799 ÷ 4 = 355,949.75

If the quotient is a whole number, then 4 and 355,949.75 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 1,423,799
-1 1,423,799
Keep dividing by the next highest number until you cannot divide anymore.

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

113314033,53345,929109,5231,423,799
-1-13-31-403-3,533-45,929-109,523-1,423,799

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,423,799:


Ask a Question