Q: What are the factor combinations of the number 18,445,835?

 A:
Positive:   1 x 184458355 x 36891671453 x 126952539 x 7265
Negative: -1 x -18445835-5 x -3689167-1453 x -12695-2539 x -7265


How do I find the factor combinations of the number 18,445,835?

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 18,445,835, 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 18,445,835
-1 -18,445,835

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 18,445,835.

Example:
1 x 18,445,835 = 18,445,835
and
-1 x -18,445,835 = 18,445,835
Notice both answers equal 18,445,835

With that explanation out of the way, let's continue. Next, we take the number 18,445,835 and divide it by 2:

18,445,835 ÷ 2 = 9,222,917.5

If the quotient is a whole number, then 2 and 9,222,917.5 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 18,445,835
-1 -18,445,835

Now, we try dividing 18,445,835 by 3:

18,445,835 ÷ 3 = 6,148,611.6667

If the quotient is a whole number, then 3 and 6,148,611.6667 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 18,445,835
-1 -18,445,835

Let's try dividing by 4:

18,445,835 ÷ 4 = 4,611,458.75

If the quotient is a whole number, then 4 and 4,611,458.75 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 18,445,835
-1 18,445,835
Keep dividing by the next highest number until you cannot divide anymore.

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

151,4532,5397,26512,6953,689,16718,445,835
-1-5-1,453-2,539-7,265-12,695-3,689,167-18,445,835

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