Q: What are the factor combinations of the number 14,442,337?

 A:
Positive:   1 x 144423377 x 206319113 x 111094919 x 76012391 x 158707133 x 108589247 x 584711729 x 8353
Negative: -1 x -14442337-7 x -2063191-13 x -1110949-19 x -760123-91 x -158707-133 x -108589-247 x -58471-1729 x -8353


How do I find the factor combinations of the number 14,442,337?

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 14,442,337, 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 14,442,337
-1 -14,442,337

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 14,442,337.

Example:
1 x 14,442,337 = 14,442,337
and
-1 x -14,442,337 = 14,442,337
Notice both answers equal 14,442,337

With that explanation out of the way, let's continue. Next, we take the number 14,442,337 and divide it by 2:

14,442,337 ÷ 2 = 7,221,168.5

If the quotient is a whole number, then 2 and 7,221,168.5 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 14,442,337
-1 -14,442,337

Now, we try dividing 14,442,337 by 3:

14,442,337 ÷ 3 = 4,814,112.3333

If the quotient is a whole number, then 3 and 4,814,112.3333 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 14,442,337
-1 -14,442,337

Let's try dividing by 4:

14,442,337 ÷ 4 = 3,610,584.25

If the quotient is a whole number, then 4 and 3,610,584.25 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 14,442,337
-1 14,442,337
Keep dividing by the next highest number until you cannot divide anymore.

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

171319911332471,7298,35358,471108,589158,707760,1231,110,9492,063,19114,442,337
-1-7-13-19-91-133-247-1,729-8,353-58,471-108,589-158,707-760,123-1,110,949-2,063,191-14,442,337

More Examples

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