Q: What are the factor combinations of the number 13,446,167?

 A:
Positive:   1 x 134461677 x 192088117 x 79095119 x 707693119 x 112993133 x 101099313 x 42959323 x 41629361 x 372472191 x 61372261 x 59472527 x 5321
Negative: -1 x -13446167-7 x -1920881-17 x -790951-19 x -707693-119 x -112993-133 x -101099-313 x -42959-323 x -41629-361 x -37247-2191 x -6137-2261 x -5947-2527 x -5321


How do I find the factor combinations of the number 13,446,167?

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 13,446,167, 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 13,446,167
-1 -13,446,167

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 13,446,167.

Example:
1 x 13,446,167 = 13,446,167
and
-1 x -13,446,167 = 13,446,167
Notice both answers equal 13,446,167

With that explanation out of the way, let's continue. Next, we take the number 13,446,167 and divide it by 2:

13,446,167 ÷ 2 = 6,723,083.5

If the quotient is a whole number, then 2 and 6,723,083.5 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 13,446,167
-1 -13,446,167

Now, we try dividing 13,446,167 by 3:

13,446,167 ÷ 3 = 4,482,055.6667

If the quotient is a whole number, then 3 and 4,482,055.6667 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 13,446,167
-1 -13,446,167

Let's try dividing by 4:

13,446,167 ÷ 4 = 3,361,541.75

If the quotient is a whole number, then 4 and 3,361,541.75 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 13,446,167
-1 13,446,167
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333133233612,1912,2612,5275,3215,9476,13737,24741,62942,959101,099112,993707,693790,9511,920,88113,446,167
-1-7-17-19-119-133-313-323-361-2,191-2,261-2,527-5,321-5,947-6,137-37,247-41,629-42,959-101,099-112,993-707,693-790,951-1,920,881-13,446,167

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