Q: What are the factor combinations of the number 14,324,045?

 A:
Positive:   1 x 143240455 x 286480953 x 270265191 x 74995265 x 54053283 x 50615955 x 149991415 x 10123
Negative: -1 x -14324045-5 x -2864809-53 x -270265-191 x -74995-265 x -54053-283 x -50615-955 x -14999-1415 x -10123


How do I find the factor combinations of the number 14,324,045?

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 14,324,045, 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 14,324,045
-1 -14,324,045

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 14,324,045.

Example:
1 x 14,324,045 = 14,324,045
and
-1 x -14,324,045 = 14,324,045
Notice both answers equal 14,324,045

With that explanation out of the way, let's continue. Next, we take the number 14,324,045 and divide it by 2:

14,324,045 ÷ 2 = 7,162,022.5

If the quotient is a whole number, then 2 and 7,162,022.5 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 14,324,045
-1 -14,324,045

Now, we try dividing 14,324,045 by 3:

14,324,045 ÷ 3 = 4,774,681.6667

If the quotient is a whole number, then 3 and 4,774,681.6667 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 14,324,045
-1 -14,324,045

Let's try dividing by 4:

14,324,045 ÷ 4 = 3,581,011.25

If the quotient is a whole number, then 4 and 3,581,011.25 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 14,324,045
-1 14,324,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15531912652839551,41510,12314,99950,61554,05374,995270,2652,864,80914,324,045
-1-5-53-191-265-283-955-1,415-10,123-14,999-50,615-54,053-74,995-270,265-2,864,809-14,324,045

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