Q: What are the factor combinations of the number 14,036,041?

 A:
Positive:   1 x 1403604119 x 73873959 x 237899361 x 38881659 x 212991121 x 12521
Negative: -1 x -14036041-19 x -738739-59 x -237899-361 x -38881-659 x -21299-1121 x -12521


How do I find the factor combinations of the number 14,036,041?

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 14,036,041, 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 14,036,041
-1 -14,036,041

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 14,036,041.

Example:
1 x 14,036,041 = 14,036,041
and
-1 x -14,036,041 = 14,036,041
Notice both answers equal 14,036,041

With that explanation out of the way, let's continue. Next, we take the number 14,036,041 and divide it by 2:

14,036,041 ÷ 2 = 7,018,020.5

If the quotient is a whole number, then 2 and 7,018,020.5 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 14,036,041
-1 -14,036,041

Now, we try dividing 14,036,041 by 3:

14,036,041 ÷ 3 = 4,678,680.3333

If the quotient is a whole number, then 3 and 4,678,680.3333 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 14,036,041
-1 -14,036,041

Let's try dividing by 4:

14,036,041 ÷ 4 = 3,509,010.25

If the quotient is a whole number, then 4 and 3,509,010.25 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 14,036,041
-1 14,036,041
Keep dividing by the next highest number until you cannot divide anymore.

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

119593616591,12112,52121,29938,881237,899738,73914,036,041
-1-19-59-361-659-1,121-12,521-21,299-38,881-237,899-738,739-14,036,041

More Examples

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