Q: What are the factor combinations of the number 1,418,573?

 A:
Positive:   1 x 141857313 x 109121
Negative: -1 x -1418573-13 x -109121


How do I find the factor combinations of the number 1,418,573?

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 1,418,573, 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 1,418,573
-1 -1,418,573

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 1,418,573.

Example:
1 x 1,418,573 = 1,418,573
and
-1 x -1,418,573 = 1,418,573
Notice both answers equal 1,418,573

With that explanation out of the way, let's continue. Next, we take the number 1,418,573 and divide it by 2:

1,418,573 ÷ 2 = 709,286.5

If the quotient is a whole number, then 2 and 709,286.5 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 1,418,573
-1 -1,418,573

Now, we try dividing 1,418,573 by 3:

1,418,573 ÷ 3 = 472,857.6667

If the quotient is a whole number, then 3 and 472,857.6667 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 1,418,573
-1 -1,418,573

Let's try dividing by 4:

1,418,573 ÷ 4 = 354,643.25

If the quotient is a whole number, then 4 and 354,643.25 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 1,418,573
-1 1,418,573
Keep dividing by the next highest number until you cannot divide anymore.

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

113109,1211,418,573
-1-13-109,121-1,418,573

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,418,573:


Ask a Question