Q: What are the factor combinations of the number 1,034,737?

 A:
Positive:   1 x 103473711 x 94067109 x 9493863 x 1199
Negative: -1 x -1034737-11 x -94067-109 x -9493-863 x -1199


How do I find the factor combinations of the number 1,034,737?

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 1,034,737, 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 1,034,737
-1 -1,034,737

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 1,034,737.

Example:
1 x 1,034,737 = 1,034,737
and
-1 x -1,034,737 = 1,034,737
Notice both answers equal 1,034,737

With that explanation out of the way, let's continue. Next, we take the number 1,034,737 and divide it by 2:

1,034,737 ÷ 2 = 517,368.5

If the quotient is a whole number, then 2 and 517,368.5 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 1,034,737
-1 -1,034,737

Now, we try dividing 1,034,737 by 3:

1,034,737 ÷ 3 = 344,912.3333

If the quotient is a whole number, then 3 and 344,912.3333 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 1,034,737
-1 -1,034,737

Let's try dividing by 4:

1,034,737 ÷ 4 = 258,684.25

If the quotient is a whole number, then 4 and 258,684.25 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 1,034,737
-1 1,034,737
Keep dividing by the next highest number until you cannot divide anymore.

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

1111098631,1999,49394,0671,034,737
-1-11-109-863-1,199-9,493-94,067-1,034,737

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,034,737:


Ask a Question