Q: What are the factor combinations of the number 14,682,155?

 A:
Positive:   1 x 146821555 x 293643119 x 77274537 x 39681595 x 154549185 x 79363703 x 208853515 x 4177
Negative: -1 x -14682155-5 x -2936431-19 x -772745-37 x -396815-95 x -154549-185 x -79363-703 x -20885-3515 x -4177


How do I find the factor combinations of the number 14,682,155?

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 14,682,155, 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 14,682,155
-1 -14,682,155

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 14,682,155.

Example:
1 x 14,682,155 = 14,682,155
and
-1 x -14,682,155 = 14,682,155
Notice both answers equal 14,682,155

With that explanation out of the way, let's continue. Next, we take the number 14,682,155 and divide it by 2:

14,682,155 ÷ 2 = 7,341,077.5

If the quotient is a whole number, then 2 and 7,341,077.5 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 14,682,155
-1 -14,682,155

Now, we try dividing 14,682,155 by 3:

14,682,155 ÷ 3 = 4,894,051.6667

If the quotient is a whole number, then 3 and 4,894,051.6667 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 14,682,155
-1 -14,682,155

Let's try dividing by 4:

14,682,155 ÷ 4 = 3,670,538.75

If the quotient is a whole number, then 4 and 3,670,538.75 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 14,682,155
-1 14,682,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151937951857033,5154,17720,88579,363154,549396,815772,7452,936,43114,682,155
-1-5-19-37-95-185-703-3,515-4,177-20,885-79,363-154,549-396,815-772,745-2,936,431-14,682,155

More Examples

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