Q: What are the factor combinations of the number 14,423,255?

 A:
Positive:   1 x 144232555 x 28846517 x 206046511 x 131120535 x 41209355 x 26224177 x 187315385 x 37463
Negative: -1 x -14423255-5 x -2884651-7 x -2060465-11 x -1311205-35 x -412093-55 x -262241-77 x -187315-385 x -37463


How do I find the factor combinations of the number 14,423,255?

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 14,423,255, 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 14,423,255
-1 -14,423,255

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 14,423,255.

Example:
1 x 14,423,255 = 14,423,255
and
-1 x -14,423,255 = 14,423,255
Notice both answers equal 14,423,255

With that explanation out of the way, let's continue. Next, we take the number 14,423,255 and divide it by 2:

14,423,255 ÷ 2 = 7,211,627.5

If the quotient is a whole number, then 2 and 7,211,627.5 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 14,423,255
-1 -14,423,255

Now, we try dividing 14,423,255 by 3:

14,423,255 ÷ 3 = 4,807,751.6667

If the quotient is a whole number, then 3 and 4,807,751.6667 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 14,423,255
-1 -14,423,255

Let's try dividing by 4:

14,423,255 ÷ 4 = 3,605,813.75

If the quotient is a whole number, then 4 and 3,605,813.75 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 14,423,255
-1 14,423,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738537,463187,315262,241412,0931,311,2052,060,4652,884,65114,423,255
-1-5-7-11-35-55-77-385-37,463-187,315-262,241-412,093-1,311,205-2,060,465-2,884,651-14,423,255

More Examples

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