Q: What are the factor combinations of the number 120,002,267?

 A:
Positive:   1 x 1200022677 x 1714318111 x 1090929777 x 1558471151 x 7947171057 x 1135311661 x 7224710321 x 11627
Negative: -1 x -120002267-7 x -17143181-11 x -10909297-77 x -1558471-151 x -794717-1057 x -113531-1661 x -72247-10321 x -11627


How do I find the factor combinations of the number 120,002,267?

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 120,002,267, 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.

1 120,002,267
-1 -120,002,267

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 120,002,267.

Example:
1 x 120,002,267 = 120,002,267
and
-1 x -120,002,267 = 120,002,267
Notice both answers equal 120,002,267

With that explanation out of the way, let's continue. Next, we take the number 120,002,267 and divide it by 2:

120,002,267 ÷ 2 = 60,001,133.5

If the quotient is a whole number, then 2 and 60,001,133.5 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:

1 120,002,267
-1 -120,002,267

Now, we try dividing 120,002,267 by 3:

120,002,267 ÷ 3 = 40,000,755.6667

If the quotient is a whole number, then 3 and 40,000,755.6667 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:

1 120,002,267
-1 -120,002,267

Let's try dividing by 4:

120,002,267 ÷ 4 = 30,000,566.75

If the quotient is a whole number, then 4 and 30,000,566.75 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:

1 120,002,267
-1 120,002,267
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771511,0571,66110,32111,62772,247113,531794,7171,558,47110,909,29717,143,181120,002,267
-1-7-11-77-151-1,057-1,661-10,321-11,627-72,247-113,531-794,717-1,558,471-10,909,297-17,143,181-120,002,267

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