Q: What are the factor combinations of the number 23,444,003?

 A:
Positive:   1 x 2344400311 x 213127317 x 1379059187 x 125369283 x 82841443 x 529213113 x 75314811 x 4873
Negative: -1 x -23444003-11 x -2131273-17 x -1379059-187 x -125369-283 x -82841-443 x -52921-3113 x -7531-4811 x -4873


How do I find the factor combinations of the number 23,444,003?

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 23,444,003, 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 23,444,003
-1 -23,444,003

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 23,444,003.

Example:
1 x 23,444,003 = 23,444,003
and
-1 x -23,444,003 = 23,444,003
Notice both answers equal 23,444,003

With that explanation out of the way, let's continue. Next, we take the number 23,444,003 and divide it by 2:

23,444,003 ÷ 2 = 11,722,001.5

If the quotient is a whole number, then 2 and 11,722,001.5 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 23,444,003
-1 -23,444,003

Now, we try dividing 23,444,003 by 3:

23,444,003 ÷ 3 = 7,814,667.6667

If the quotient is a whole number, then 3 and 7,814,667.6667 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 23,444,003
-1 -23,444,003

Let's try dividing by 4:

23,444,003 ÷ 4 = 5,861,000.75

If the quotient is a whole number, then 4 and 5,861,000.75 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 23,444,003
-1 23,444,003
Keep dividing by the next highest number until you cannot divide anymore.

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

111171872834433,1134,8114,8737,53152,92182,841125,3691,379,0592,131,27323,444,003
-1-11-17-187-283-443-3,113-4,811-4,873-7,531-52,921-82,841-125,369-1,379,059-2,131,273-23,444,003

More Examples

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