Q: What are the factor combinations of the number 14,342,041?

 A:
Positive:   1 x 143420417 x 204886323 x 623567161 x 89081229 x 62629389 x 368691603 x 89472723 x 5267
Negative: -1 x -14342041-7 x -2048863-23 x -623567-161 x -89081-229 x -62629-389 x -36869-1603 x -8947-2723 x -5267


How do I find the factor combinations of the number 14,342,041?

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 14,342,041, 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 14,342,041
-1 -14,342,041

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 14,342,041.

Example:
1 x 14,342,041 = 14,342,041
and
-1 x -14,342,041 = 14,342,041
Notice both answers equal 14,342,041

With that explanation out of the way, let's continue. Next, we take the number 14,342,041 and divide it by 2:

14,342,041 ÷ 2 = 7,171,020.5

If the quotient is a whole number, then 2 and 7,171,020.5 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 14,342,041
-1 -14,342,041

Now, we try dividing 14,342,041 by 3:

14,342,041 ÷ 3 = 4,780,680.3333

If the quotient is a whole number, then 3 and 4,780,680.3333 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 14,342,041
-1 -14,342,041

Let's try dividing by 4:

14,342,041 ÷ 4 = 3,585,510.25

If the quotient is a whole number, then 4 and 3,585,510.25 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 14,342,041
-1 14,342,041
Keep dividing by the next highest number until you cannot divide anymore.

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

17231612293891,6032,7235,2678,94736,86962,62989,081623,5672,048,86314,342,041
-1-7-23-161-229-389-1,603-2,723-5,267-8,947-36,869-62,629-89,081-623,567-2,048,863-14,342,041

More Examples

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