Q: What are the factor combinations of the number 1,023,845?

 A:
Positive:   1 x 10238455 x 20476923 x 4451529 x 35305115 x 8903145 x 7061307 x 3335667 x 1535
Negative: -1 x -1023845-5 x -204769-23 x -44515-29 x -35305-115 x -8903-145 x -7061-307 x -3335-667 x -1535


How do I find the factor combinations of the number 1,023,845?

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 1,023,845, 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 1,023,845
-1 -1,023,845

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 1,023,845.

Example:
1 x 1,023,845 = 1,023,845
and
-1 x -1,023,845 = 1,023,845
Notice both answers equal 1,023,845

With that explanation out of the way, let's continue. Next, we take the number 1,023,845 and divide it by 2:

1,023,845 ÷ 2 = 511,922.5

If the quotient is a whole number, then 2 and 511,922.5 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 1,023,845
-1 -1,023,845

Now, we try dividing 1,023,845 by 3:

1,023,845 ÷ 3 = 341,281.6667

If the quotient is a whole number, then 3 and 341,281.6667 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 1,023,845
-1 -1,023,845

Let's try dividing by 4:

1,023,845 ÷ 4 = 255,961.25

If the quotient is a whole number, then 4 and 255,961.25 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 1,023,845
-1 1,023,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1523291151453076671,5353,3357,0618,90335,30544,515204,7691,023,845
-1-5-23-29-115-145-307-667-1,535-3,335-7,061-8,903-35,305-44,515-204,769-1,023,845

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,023,845:


Ask a Question