Q: What are the factor combinations of the number 14,011,445?

 A:
Positive:   1 x 140114455 x 28022897 x 200163535 x 400327313 x 447651279 x 109551565 x 89532191 x 6395
Negative: -1 x -14011445-5 x -2802289-7 x -2001635-35 x -400327-313 x -44765-1279 x -10955-1565 x -8953-2191 x -6395


How do I find the factor combinations of the number 14,011,445?

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 14,011,445, 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 14,011,445
-1 -14,011,445

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 14,011,445.

Example:
1 x 14,011,445 = 14,011,445
and
-1 x -14,011,445 = 14,011,445
Notice both answers equal 14,011,445

With that explanation out of the way, let's continue. Next, we take the number 14,011,445 and divide it by 2:

14,011,445 ÷ 2 = 7,005,722.5

If the quotient is a whole number, then 2 and 7,005,722.5 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 14,011,445
-1 -14,011,445

Now, we try dividing 14,011,445 by 3:

14,011,445 ÷ 3 = 4,670,481.6667

If the quotient is a whole number, then 3 and 4,670,481.6667 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 14,011,445
-1 -14,011,445

Let's try dividing by 4:

14,011,445 ÷ 4 = 3,502,861.25

If the quotient is a whole number, then 4 and 3,502,861.25 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 14,011,445
-1 14,011,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157353131,2791,5652,1916,3958,95310,95544,765400,3272,001,6352,802,28914,011,445
-1-5-7-35-313-1,279-1,565-2,191-6,395-8,953-10,955-44,765-400,327-2,001,635-2,802,289-14,011,445

More Examples

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