Q: What are the factor combinations of the number 14,351,315?

 A:
Positive:   1 x 143513155 x 287026311 x 130466517 x 84419555 x 26093385 x 168839187 x 76745935 x 15349
Negative: -1 x -14351315-5 x -2870263-11 x -1304665-17 x -844195-55 x -260933-85 x -168839-187 x -76745-935 x -15349


How do I find the factor combinations of the number 14,351,315?

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 14,351,315, 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 14,351,315
-1 -14,351,315

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 14,351,315.

Example:
1 x 14,351,315 = 14,351,315
and
-1 x -14,351,315 = 14,351,315
Notice both answers equal 14,351,315

With that explanation out of the way, let's continue. Next, we take the number 14,351,315 and divide it by 2:

14,351,315 ÷ 2 = 7,175,657.5

If the quotient is a whole number, then 2 and 7,175,657.5 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 14,351,315
-1 -14,351,315

Now, we try dividing 14,351,315 by 3:

14,351,315 ÷ 3 = 4,783,771.6667

If the quotient is a whole number, then 3 and 4,783,771.6667 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 14,351,315
-1 -14,351,315

Let's try dividing by 4:

14,351,315 ÷ 4 = 3,587,828.75

If the quotient is a whole number, then 4 and 3,587,828.75 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 14,351,315
-1 14,351,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793515,34976,745168,839260,933844,1951,304,6652,870,26314,351,315
-1-5-11-17-55-85-187-935-15,349-76,745-168,839-260,933-844,195-1,304,665-2,870,263-14,351,315

More Examples

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