Q: What are the factor combinations of the number 18,485,731?

 A:
Positive:   1 x 1848573111 x 168052129 x 637439167 x 110693319 x 57949347 x 532731837 x 100633817 x 4843
Negative: -1 x -18485731-11 x -1680521-29 x -637439-167 x -110693-319 x -57949-347 x -53273-1837 x -10063-3817 x -4843


How do I find the factor combinations of the number 18,485,731?

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 18,485,731, 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 18,485,731
-1 -18,485,731

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 18,485,731.

Example:
1 x 18,485,731 = 18,485,731
and
-1 x -18,485,731 = 18,485,731
Notice both answers equal 18,485,731

With that explanation out of the way, let's continue. Next, we take the number 18,485,731 and divide it by 2:

18,485,731 ÷ 2 = 9,242,865.5

If the quotient is a whole number, then 2 and 9,242,865.5 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 18,485,731
-1 -18,485,731

Now, we try dividing 18,485,731 by 3:

18,485,731 ÷ 3 = 6,161,910.3333

If the quotient is a whole number, then 3 and 6,161,910.3333 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 18,485,731
-1 -18,485,731

Let's try dividing by 4:

18,485,731 ÷ 4 = 4,621,432.75

If the quotient is a whole number, then 4 and 4,621,432.75 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 18,485,731
-1 18,485,731
Keep dividing by the next highest number until you cannot divide anymore.

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

111291673193471,8373,8174,84310,06353,27357,949110,693637,4391,680,52118,485,731
-1-11-29-167-319-347-1,837-3,817-4,843-10,063-53,273-57,949-110,693-637,439-1,680,521-18,485,731

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