Q: What are the factor combinations of the number 873,635?

 A:
Positive:   1 x 8736355 x 1747277 x 12480535 x 24961109 x 8015229 x 3815545 x 1603763 x 1145
Negative: -1 x -873635-5 x -174727-7 x -124805-35 x -24961-109 x -8015-229 x -3815-545 x -1603-763 x -1145


How do I find the factor combinations of the number 873,635?

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 873,635, 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.

1 873,635
-1 -873,635

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 873,635.

Example:
1 x 873,635 = 873,635
and
-1 x -873,635 = 873,635
Notice both answers equal 873,635

With that explanation out of the way, let's continue. Next, we take the number 873,635 and divide it by 2:

873,635 ÷ 2 = 436,817.5

If the quotient is a whole number, then 2 and 436,817.5 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:

1 873,635
-1 -873,635

Now, we try dividing 873,635 by 3:

873,635 ÷ 3 = 291,211.6667

If the quotient is a whole number, then 3 and 291,211.6667 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:

1 873,635
-1 -873,635

Let's try dividing by 4:

873,635 ÷ 4 = 218,408.75

If the quotient is a whole number, then 4 and 218,408.75 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:

1 873,635
-1 873,635
Keep dividing by the next highest number until you cannot divide anymore.

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

157351092295457631,1451,6033,8158,01524,961124,805174,727873,635
-1-5-7-35-109-229-545-763-1,145-1,603-3,815-8,015-24,961-124,805-174,727-873,635

More Examples

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