Q: What are the factor combinations of the number 1,052,845?

 A:
Positive:   1 x 10528455 x 21056929 x 3630553 x 19865137 x 7685145 x 7261265 x 3973685 x 1537
Negative: -1 x -1052845-5 x -210569-29 x -36305-53 x -19865-137 x -7685-145 x -7261-265 x -3973-685 x -1537


How do I find the factor combinations of the number 1,052,845?

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 1,052,845, 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 1,052,845
-1 -1,052,845

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 1,052,845.

Example:
1 x 1,052,845 = 1,052,845
and
-1 x -1,052,845 = 1,052,845
Notice both answers equal 1,052,845

With that explanation out of the way, let's continue. Next, we take the number 1,052,845 and divide it by 2:

1,052,845 ÷ 2 = 526,422.5

If the quotient is a whole number, then 2 and 526,422.5 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 1,052,845
-1 -1,052,845

Now, we try dividing 1,052,845 by 3:

1,052,845 ÷ 3 = 350,948.3333

If the quotient is a whole number, then 3 and 350,948.3333 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 1,052,845
-1 -1,052,845

Let's try dividing by 4:

1,052,845 ÷ 4 = 263,211.25

If the quotient is a whole number, then 4 and 263,211.25 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 1,052,845
-1 1,052,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1529531371452656851,5373,9737,2617,68519,86536,305210,5691,052,845
-1-5-29-53-137-145-265-685-1,537-3,973-7,261-7,685-19,865-36,305-210,569-1,052,845

More Examples

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