Q: What are the factor combinations of the number 18,594,037?

 A:
Positive:   1 x 185940377 x 265629111 x 169036777 x 241481113 x 164549791 x 235071243 x 149592137 x 8701
Negative: -1 x -18594037-7 x -2656291-11 x -1690367-77 x -241481-113 x -164549-791 x -23507-1243 x -14959-2137 x -8701


How do I find the factor combinations of the number 18,594,037?

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 18,594,037, 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 18,594,037
-1 -18,594,037

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 18,594,037.

Example:
1 x 18,594,037 = 18,594,037
and
-1 x -18,594,037 = 18,594,037
Notice both answers equal 18,594,037

With that explanation out of the way, let's continue. Next, we take the number 18,594,037 and divide it by 2:

18,594,037 ÷ 2 = 9,297,018.5

If the quotient is a whole number, then 2 and 9,297,018.5 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 18,594,037
-1 -18,594,037

Now, we try dividing 18,594,037 by 3:

18,594,037 ÷ 3 = 6,198,012.3333

If the quotient is a whole number, then 3 and 6,198,012.3333 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 18,594,037
-1 -18,594,037

Let's try dividing by 4:

18,594,037 ÷ 4 = 4,648,509.25

If the quotient is a whole number, then 4 and 4,648,509.25 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 18,594,037
-1 18,594,037
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771137911,2432,1378,70114,95923,507164,549241,4811,690,3672,656,29118,594,037
-1-7-11-77-113-791-1,243-2,137-8,701-14,959-23,507-164,549-241,481-1,690,367-2,656,291-18,594,037

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