Q: What are the factor combinations of the number 110,003,003?

 A:
Positive:   1 x 11000300311 x 1000027329 x 3793207319 x 344837419 x 262537823 x 1336614609 x 238679053 x 12151
Negative: -1 x -110003003-11 x -10000273-29 x -3793207-319 x -344837-419 x -262537-823 x -133661-4609 x -23867-9053 x -12151


How do I find the factor combinations of the number 110,003,003?

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 110,003,003, 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.

1 110,003,003
-1 -110,003,003

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 110,003,003.

Example:
1 x 110,003,003 = 110,003,003
and
-1 x -110,003,003 = 110,003,003
Notice both answers equal 110,003,003

With that explanation out of the way, let's continue. Next, we take the number 110,003,003 and divide it by 2:

110,003,003 ÷ 2 = 55,001,501.5

If the quotient is a whole number, then 2 and 55,001,501.5 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:

1 110,003,003
-1 -110,003,003

Now, we try dividing 110,003,003 by 3:

110,003,003 ÷ 3 = 36,667,667.6667

If the quotient is a whole number, then 3 and 36,667,667.6667 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:

1 110,003,003
-1 -110,003,003

Let's try dividing by 4:

110,003,003 ÷ 4 = 27,500,750.75

If the quotient is a whole number, then 4 and 27,500,750.75 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:

1 110,003,003
-1 110,003,003
Keep dividing by the next highest number until you cannot divide anymore.

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

111293194198234,6099,05312,15123,867133,661262,537344,8373,793,20710,000,273110,003,003
-1-11-29-319-419-823-4,609-9,053-12,151-23,867-133,661-262,537-344,837-3,793,207-10,000,273-110,003,003

More Examples

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