Q: What are the factor combinations of the number 29,165,855?

 A:
Positive:   1 x 291658555 x 583317119 x 153504595 x 307009
Negative: -1 x -29165855-5 x -5833171-19 x -1535045-95 x -307009


How do I find the factor combinations of the number 29,165,855?

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 29,165,855, 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 29,165,855
-1 -29,165,855

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 29,165,855.

Example:
1 x 29,165,855 = 29,165,855
and
-1 x -29,165,855 = 29,165,855
Notice both answers equal 29,165,855

With that explanation out of the way, let's continue. Next, we take the number 29,165,855 and divide it by 2:

29,165,855 ÷ 2 = 14,582,927.5

If the quotient is a whole number, then 2 and 14,582,927.5 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 29,165,855
-1 -29,165,855

Now, we try dividing 29,165,855 by 3:

29,165,855 ÷ 3 = 9,721,951.6667

If the quotient is a whole number, then 3 and 9,721,951.6667 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 29,165,855
-1 -29,165,855

Let's try dividing by 4:

29,165,855 ÷ 4 = 7,291,463.75

If the quotient is a whole number, then 4 and 7,291,463.75 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 29,165,855
-1 29,165,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151995307,0091,535,0455,833,17129,165,855
-1-5-19-95-307,009-1,535,045-5,833,171-29,165,855

More Examples

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