Q: What are the factor combinations of the number 14,351,723?

 A:
Positive:   1 x 1435172317 x 84421929 x 49488743 x 333761493 x 29111677 x 21199731 x 196331247 x 11509
Negative: -1 x -14351723-17 x -844219-29 x -494887-43 x -333761-493 x -29111-677 x -21199-731 x -19633-1247 x -11509


How do I find the factor combinations of the number 14,351,723?

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 14,351,723, 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 14,351,723
-1 -14,351,723

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 14,351,723.

Example:
1 x 14,351,723 = 14,351,723
and
-1 x -14,351,723 = 14,351,723
Notice both answers equal 14,351,723

With that explanation out of the way, let's continue. Next, we take the number 14,351,723 and divide it by 2:

14,351,723 ÷ 2 = 7,175,861.5

If the quotient is a whole number, then 2 and 7,175,861.5 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 14,351,723
-1 -14,351,723

Now, we try dividing 14,351,723 by 3:

14,351,723 ÷ 3 = 4,783,907.6667

If the quotient is a whole number, then 3 and 4,783,907.6667 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 14,351,723
-1 -14,351,723

Let's try dividing by 4:

14,351,723 ÷ 4 = 3,587,930.75

If the quotient is a whole number, then 4 and 3,587,930.75 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 14,351,723
-1 14,351,723
Keep dividing by the next highest number until you cannot divide anymore.

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

11729434936777311,24711,50919,63321,19929,111333,761494,887844,21914,351,723
-1-17-29-43-493-677-731-1,247-11,509-19,633-21,199-29,111-333,761-494,887-844,219-14,351,723

More Examples

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