Q: What are the factor combinations of the number 14,046,043?

 A:
Positive:   1 x 1404604311 x 127691361 x 230263121 x 116083173 x 81191671 x 209331331 x 105531903 x 7381
Negative: -1 x -14046043-11 x -1276913-61 x -230263-121 x -116083-173 x -81191-671 x -20933-1331 x -10553-1903 x -7381


How do I find the factor combinations of the number 14,046,043?

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 14,046,043, 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 14,046,043
-1 -14,046,043

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 14,046,043.

Example:
1 x 14,046,043 = 14,046,043
and
-1 x -14,046,043 = 14,046,043
Notice both answers equal 14,046,043

With that explanation out of the way, let's continue. Next, we take the number 14,046,043 and divide it by 2:

14,046,043 ÷ 2 = 7,023,021.5

If the quotient is a whole number, then 2 and 7,023,021.5 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 14,046,043
-1 -14,046,043

Now, we try dividing 14,046,043 by 3:

14,046,043 ÷ 3 = 4,682,014.3333

If the quotient is a whole number, then 3 and 4,682,014.3333 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 14,046,043
-1 -14,046,043

Let's try dividing by 4:

14,046,043 ÷ 4 = 3,511,510.75

If the quotient is a whole number, then 4 and 3,511,510.75 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 14,046,043
-1 14,046,043
Keep dividing by the next highest number until you cannot divide anymore.

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

111611211736711,3311,9037,38110,55320,93381,191116,083230,2631,276,91314,046,043
-1-11-61-121-173-671-1,331-1,903-7,381-10,553-20,933-81,191-116,083-230,263-1,276,913-14,046,043

More Examples

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