Q: What are the factor combinations of the number 14,015,071?

 A:
Positive:   1 x 140150717 x 200215341 x 34183147 x 298193287 x 48833329 x 425991039 x 134891927 x 7273
Negative: -1 x -14015071-7 x -2002153-41 x -341831-47 x -298193-287 x -48833-329 x -42599-1039 x -13489-1927 x -7273


How do I find the factor combinations of the number 14,015,071?

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 14,015,071, 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 14,015,071
-1 -14,015,071

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 14,015,071.

Example:
1 x 14,015,071 = 14,015,071
and
-1 x -14,015,071 = 14,015,071
Notice both answers equal 14,015,071

With that explanation out of the way, let's continue. Next, we take the number 14,015,071 and divide it by 2:

14,015,071 ÷ 2 = 7,007,535.5

If the quotient is a whole number, then 2 and 7,007,535.5 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 14,015,071
-1 -14,015,071

Now, we try dividing 14,015,071 by 3:

14,015,071 ÷ 3 = 4,671,690.3333

If the quotient is a whole number, then 3 and 4,671,690.3333 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 14,015,071
-1 -14,015,071

Let's try dividing by 4:

14,015,071 ÷ 4 = 3,503,767.75

If the quotient is a whole number, then 4 and 3,503,767.75 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 14,015,071
-1 14,015,071
Keep dividing by the next highest number until you cannot divide anymore.

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

1741472873291,0391,9277,27313,48942,59948,833298,193341,8312,002,15314,015,071
-1-7-41-47-287-329-1,039-1,927-7,273-13,489-42,599-48,833-298,193-341,831-2,002,153-14,015,071

More Examples

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