Q: What are the factor combinations of the number 1,038,965?

 A:
Positive:   1 x 10389655 x 20779331 x 33515155 x 6703
Negative: -1 x -1038965-5 x -207793-31 x -33515-155 x -6703


How do I find the factor combinations of the number 1,038,965?

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 1,038,965, 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 1,038,965
-1 -1,038,965

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 1,038,965.

Example:
1 x 1,038,965 = 1,038,965
and
-1 x -1,038,965 = 1,038,965
Notice both answers equal 1,038,965

With that explanation out of the way, let's continue. Next, we take the number 1,038,965 and divide it by 2:

1,038,965 ÷ 2 = 519,482.5

If the quotient is a whole number, then 2 and 519,482.5 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 1,038,965
-1 -1,038,965

Now, we try dividing 1,038,965 by 3:

1,038,965 ÷ 3 = 346,321.6667

If the quotient is a whole number, then 3 and 346,321.6667 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 1,038,965
-1 -1,038,965

Let's try dividing by 4:

1,038,965 ÷ 4 = 259,741.25

If the quotient is a whole number, then 4 and 259,741.25 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 1,038,965
-1 1,038,965
Keep dividing by the next highest number until you cannot divide anymore.

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

15311556,70333,515207,7931,038,965
-1-5-31-155-6,703-33,515-207,793-1,038,965

More Examples

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