Q: What are the factor combinations of the number 13,337,027?

 A:
Positive:   1 x 1333702711 x 121245717 x 78453173 x 182699187 x 71321803 x 16609977 x 136511241 x 10747
Negative: -1 x -13337027-11 x -1212457-17 x -784531-73 x -182699-187 x -71321-803 x -16609-977 x -13651-1241 x -10747


How do I find the factor combinations of the number 13,337,027?

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 13,337,027, 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 13,337,027
-1 -13,337,027

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 13,337,027.

Example:
1 x 13,337,027 = 13,337,027
and
-1 x -13,337,027 = 13,337,027
Notice both answers equal 13,337,027

With that explanation out of the way, let's continue. Next, we take the number 13,337,027 and divide it by 2:

13,337,027 ÷ 2 = 6,668,513.5

If the quotient is a whole number, then 2 and 6,668,513.5 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 13,337,027
-1 -13,337,027

Now, we try dividing 13,337,027 by 3:

13,337,027 ÷ 3 = 4,445,675.6667

If the quotient is a whole number, then 3 and 4,445,675.6667 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 13,337,027
-1 -13,337,027

Let's try dividing by 4:

13,337,027 ÷ 4 = 3,334,256.75

If the quotient is a whole number, then 4 and 3,334,256.75 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 13,337,027
-1 13,337,027
Keep dividing by the next highest number until you cannot divide anymore.

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

11117731878039771,24110,74713,65116,60971,321182,699784,5311,212,45713,337,027
-1-11-17-73-187-803-977-1,241-10,747-13,651-16,609-71,321-182,699-784,531-1,212,457-13,337,027

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