Q: What are the factor combinations of the number 18,435,703?

 A:
Positive:   1 x 1843570311 x 167597313 x 141813147 x 392249143 x 128921169 x 109087211 x 87373517 x 35659611 x 301731859 x 99172321 x 79432743 x 6721
Negative: -1 x -18435703-11 x -1675973-13 x -1418131-47 x -392249-143 x -128921-169 x -109087-211 x -87373-517 x -35659-611 x -30173-1859 x -9917-2321 x -7943-2743 x -6721


How do I find the factor combinations of the number 18,435,703?

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 18,435,703, 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 18,435,703
-1 -18,435,703

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 18,435,703.

Example:
1 x 18,435,703 = 18,435,703
and
-1 x -18,435,703 = 18,435,703
Notice both answers equal 18,435,703

With that explanation out of the way, let's continue. Next, we take the number 18,435,703 and divide it by 2:

18,435,703 ÷ 2 = 9,217,851.5

If the quotient is a whole number, then 2 and 9,217,851.5 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 18,435,703
-1 -18,435,703

Now, we try dividing 18,435,703 by 3:

18,435,703 ÷ 3 = 6,145,234.3333

If the quotient is a whole number, then 3 and 6,145,234.3333 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 18,435,703
-1 -18,435,703

Let's try dividing by 4:

18,435,703 ÷ 4 = 4,608,925.75

If the quotient is a whole number, then 4 and 4,608,925.75 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 18,435,703
-1 18,435,703
Keep dividing by the next highest number until you cannot divide anymore.

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

11113471431692115176111,8592,3212,7436,7217,9439,91730,17335,65987,373109,087128,921392,2491,418,1311,675,97318,435,703
-1-11-13-47-143-169-211-517-611-1,859-2,321-2,743-6,721-7,943-9,917-30,173-35,659-87,373-109,087-128,921-392,249-1,418,131-1,675,973-18,435,703

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