Q: What are the factor combinations of the number 14,550,431?

 A:
Positive:   1 x 145504317 x 207863329 x 501739203 x 71677229 x 63539313 x 464871603 x 90772191 x 6641
Negative: -1 x -14550431-7 x -2078633-29 x -501739-203 x -71677-229 x -63539-313 x -46487-1603 x -9077-2191 x -6641


How do I find the factor combinations of the number 14,550,431?

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 14,550,431, 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 14,550,431
-1 -14,550,431

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 14,550,431.

Example:
1 x 14,550,431 = 14,550,431
and
-1 x -14,550,431 = 14,550,431
Notice both answers equal 14,550,431

With that explanation out of the way, let's continue. Next, we take the number 14,550,431 and divide it by 2:

14,550,431 ÷ 2 = 7,275,215.5

If the quotient is a whole number, then 2 and 7,275,215.5 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 14,550,431
-1 -14,550,431

Now, we try dividing 14,550,431 by 3:

14,550,431 ÷ 3 = 4,850,143.6667

If the quotient is a whole number, then 3 and 4,850,143.6667 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 14,550,431
-1 -14,550,431

Let's try dividing by 4:

14,550,431 ÷ 4 = 3,637,607.75

If the quotient is a whole number, then 4 and 3,637,607.75 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 14,550,431
-1 14,550,431
Keep dividing by the next highest number until you cannot divide anymore.

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

17292032293131,6032,1916,6419,07746,48763,53971,677501,7392,078,63314,550,431
-1-7-29-203-229-313-1,603-2,191-6,641-9,077-46,487-63,539-71,677-501,739-2,078,633-14,550,431

More Examples

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