Q: What are the factor combinations of the number 218,855?

 A:
Positive:   1 x 2188555 x 437717 x 3126513 x 1683535 x 625337 x 591565 x 336791 x 2405169 x 1295185 x 1183259 x 845455 x 481
Negative: -1 x -218855-5 x -43771-7 x -31265-13 x -16835-35 x -6253-37 x -5915-65 x -3367-91 x -2405-169 x -1295-185 x -1183-259 x -845-455 x -481


How do I find the factor combinations of the number 218,855?

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 218,855, 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.

1 218,855
-1 -218,855

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 218,855.

Example:
1 x 218,855 = 218,855
and
-1 x -218,855 = 218,855
Notice both answers equal 218,855

With that explanation out of the way, let's continue. Next, we take the number 218,855 and divide it by 2:

218,855 ÷ 2 = 109,427.5

If the quotient is a whole number, then 2 and 109,427.5 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:

1 218,855
-1 -218,855

Now, we try dividing 218,855 by 3:

218,855 ÷ 3 = 72,951.6667

If the quotient is a whole number, then 3 and 72,951.6667 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:

1 218,855
-1 -218,855

Let's try dividing by 4:

218,855 ÷ 4 = 54,713.75

If the quotient is a whole number, then 4 and 54,713.75 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:

1 218,855
-1 218,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15713353765911691852594554818451,1831,2952,4053,3675,9156,25316,83531,26543,771218,855
-1-5-7-13-35-37-65-91-169-185-259-455-481-845-1,183-1,295-2,405-3,367-5,915-6,253-16,835-31,265-43,771-218,855

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