Q: What are the factor combinations of the number 14,047,745?

 A:
Positive:   1 x 140477455 x 280954919 x 73935529 x 48440595 x 147871145 x 96881551 x 254952755 x 5099
Negative: -1 x -14047745-5 x -2809549-19 x -739355-29 x -484405-95 x -147871-145 x -96881-551 x -25495-2755 x -5099


How do I find the factor combinations of the number 14,047,745?

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 14,047,745, 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 14,047,745
-1 -14,047,745

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 14,047,745.

Example:
1 x 14,047,745 = 14,047,745
and
-1 x -14,047,745 = 14,047,745
Notice both answers equal 14,047,745

With that explanation out of the way, let's continue. Next, we take the number 14,047,745 and divide it by 2:

14,047,745 ÷ 2 = 7,023,872.5

If the quotient is a whole number, then 2 and 7,023,872.5 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 14,047,745
-1 -14,047,745

Now, we try dividing 14,047,745 by 3:

14,047,745 ÷ 3 = 4,682,581.6667

If the quotient is a whole number, then 3 and 4,682,581.6667 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 14,047,745
-1 -14,047,745

Let's try dividing by 4:

14,047,745 ÷ 4 = 3,511,936.25

If the quotient is a whole number, then 4 and 3,511,936.25 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 14,047,745
-1 14,047,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151929951455512,7555,09925,49596,881147,871484,405739,3552,809,54914,047,745
-1-5-19-29-95-145-551-2,755-5,099-25,495-96,881-147,871-484,405-739,355-2,809,549-14,047,745

More Examples

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