Q: What are the factor combinations of the number 14,012,677?

 A:
Positive:   1 x 140126777 x 200181137 x 37872149 x 28597359 x 237503131 x 106967259 x 54103413 x 33929917 x 152811813 x 77292183 x 64192891 x 4847
Negative: -1 x -14012677-7 x -2001811-37 x -378721-49 x -285973-59 x -237503-131 x -106967-259 x -54103-413 x -33929-917 x -15281-1813 x -7729-2183 x -6419-2891 x -4847


How do I find the factor combinations of the number 14,012,677?

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 14,012,677, 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 14,012,677
-1 -14,012,677

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 14,012,677.

Example:
1 x 14,012,677 = 14,012,677
and
-1 x -14,012,677 = 14,012,677
Notice both answers equal 14,012,677

With that explanation out of the way, let's continue. Next, we take the number 14,012,677 and divide it by 2:

14,012,677 ÷ 2 = 7,006,338.5

If the quotient is a whole number, then 2 and 7,006,338.5 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 14,012,677
-1 -14,012,677

Now, we try dividing 14,012,677 by 3:

14,012,677 ÷ 3 = 4,670,892.3333

If the quotient is a whole number, then 3 and 4,670,892.3333 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 14,012,677
-1 -14,012,677

Let's try dividing by 4:

14,012,677 ÷ 4 = 3,503,169.25

If the quotient is a whole number, then 4 and 3,503,169.25 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 14,012,677
-1 14,012,677
Keep dividing by the next highest number until you cannot divide anymore.

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

173749591312594139171,8132,1832,8914,8476,4197,72915,28133,92954,103106,967237,503285,973378,7212,001,81114,012,677
-1-7-37-49-59-131-259-413-917-1,813-2,183-2,891-4,847-6,419-7,729-15,281-33,929-54,103-106,967-237,503-285,973-378,721-2,001,811-14,012,677

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