Q: What are the factor combinations of the number 13,022,215?

 A:
Positive:   1 x 130222155 x 260444341 x 317615139 x 93685205 x 63523457 x 28495695 x 187372285 x 5699
Negative: -1 x -13022215-5 x -2604443-41 x -317615-139 x -93685-205 x -63523-457 x -28495-695 x -18737-2285 x -5699


How do I find the factor combinations of the number 13,022,215?

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 13,022,215, 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 13,022,215
-1 -13,022,215

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 13,022,215.

Example:
1 x 13,022,215 = 13,022,215
and
-1 x -13,022,215 = 13,022,215
Notice both answers equal 13,022,215

With that explanation out of the way, let's continue. Next, we take the number 13,022,215 and divide it by 2:

13,022,215 ÷ 2 = 6,511,107.5

If the quotient is a whole number, then 2 and 6,511,107.5 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 13,022,215
-1 -13,022,215

Now, we try dividing 13,022,215 by 3:

13,022,215 ÷ 3 = 4,340,738.3333

If the quotient is a whole number, then 3 and 4,340,738.3333 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 13,022,215
-1 -13,022,215

Let's try dividing by 4:

13,022,215 ÷ 4 = 3,255,553.75

If the quotient is a whole number, then 4 and 3,255,553.75 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 13,022,215
-1 13,022,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15411392054576952,2855,69918,73728,49563,52393,685317,6152,604,44313,022,215
-1-5-41-139-205-457-695-2,285-5,699-18,737-28,495-63,523-93,685-317,615-2,604,443-13,022,215

More Examples

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