Q: What are the factor combinations of the number 852,943?

 A:
Positive:   1 x 8529437 x 12184913 x 6561149 x 1740791 x 9373103 x 8281169 x 5047637 x 1339721 x 1183
Negative: -1 x -852943-7 x -121849-13 x -65611-49 x -17407-91 x -9373-103 x -8281-169 x -5047-637 x -1339-721 x -1183


How do I find the factor combinations of the number 852,943?

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 852,943, 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.

1 852,943
-1 -852,943

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 852,943.

Example:
1 x 852,943 = 852,943
and
-1 x -852,943 = 852,943
Notice both answers equal 852,943

With that explanation out of the way, let's continue. Next, we take the number 852,943 and divide it by 2:

852,943 ÷ 2 = 426,471.5

If the quotient is a whole number, then 2 and 426,471.5 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:

1 852,943
-1 -852,943

Now, we try dividing 852,943 by 3:

852,943 ÷ 3 = 284,314.3333

If the quotient is a whole number, then 3 and 284,314.3333 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:

1 852,943
-1 -852,943

Let's try dividing by 4:

852,943 ÷ 4 = 213,235.75

If the quotient is a whole number, then 4 and 213,235.75 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:

1 852,943
-1 852,943
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911031696377211,1831,3395,0478,2819,37317,40765,611121,849852,943
-1-7-13-49-91-103-169-637-721-1,183-1,339-5,047-8,281-9,373-17,407-65,611-121,849-852,943

More Examples

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