Q: What are the factor combinations of the number 29,467,727?

 A:
Positive:   1 x 2946772719 x 155093359 x 49945397 x 303791271 x 1087371121 x 262871843 x 159895149 x 5723
Negative: -1 x -29467727-19 x -1550933-59 x -499453-97 x -303791-271 x -108737-1121 x -26287-1843 x -15989-5149 x -5723


How do I find the factor combinations of the number 29,467,727?

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 29,467,727, 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 29,467,727
-1 -29,467,727

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 29,467,727.

Example:
1 x 29,467,727 = 29,467,727
and
-1 x -29,467,727 = 29,467,727
Notice both answers equal 29,467,727

With that explanation out of the way, let's continue. Next, we take the number 29,467,727 and divide it by 2:

29,467,727 ÷ 2 = 14,733,863.5

If the quotient is a whole number, then 2 and 14,733,863.5 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 29,467,727
-1 -29,467,727

Now, we try dividing 29,467,727 by 3:

29,467,727 ÷ 3 = 9,822,575.6667

If the quotient is a whole number, then 3 and 9,822,575.6667 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 29,467,727
-1 -29,467,727

Let's try dividing by 4:

29,467,727 ÷ 4 = 7,366,931.75

If the quotient is a whole number, then 4 and 7,366,931.75 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 29,467,727
-1 29,467,727
Keep dividing by the next highest number until you cannot divide anymore.

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

11959972711,1211,8435,1495,72315,98926,287108,737303,791499,4531,550,93329,467,727
-1-19-59-97-271-1,121-1,843-5,149-5,723-15,989-26,287-108,737-303,791-499,453-1,550,933-29,467,727

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