Q: What are the factor combinations of the number 240,860,333?

 A:
Positive:   1 x 2408603337 x 3440861949 x 4915517193 x 12479811351 x 1782839457 x 25469
Negative: -1 x -240860333-7 x -34408619-49 x -4915517-193 x -1247981-1351 x -178283-9457 x -25469


How do I find the factor combinations of the number 240,860,333?

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 240,860,333, 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.

1 240,860,333
-1 -240,860,333

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 240,860,333.

Example:
1 x 240,860,333 = 240,860,333
and
-1 x -240,860,333 = 240,860,333
Notice both answers equal 240,860,333

With that explanation out of the way, let's continue. Next, we take the number 240,860,333 and divide it by 2:

240,860,333 ÷ 2 = 120,430,166.5

If the quotient is a whole number, then 2 and 120,430,166.5 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:

1 240,860,333
-1 -240,860,333

Now, we try dividing 240,860,333 by 3:

240,860,333 ÷ 3 = 80,286,777.6667

If the quotient is a whole number, then 3 and 80,286,777.6667 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:

1 240,860,333
-1 -240,860,333

Let's try dividing by 4:

240,860,333 ÷ 4 = 60,215,083.25

If the quotient is a whole number, then 4 and 60,215,083.25 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:

1 240,860,333
-1 240,860,333
Keep dividing by the next highest number until you cannot divide anymore.

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

17491931,3519,45725,469178,2831,247,9814,915,51734,408,619240,860,333
-1-7-49-193-1,351-9,457-25,469-178,283-1,247,981-4,915,517-34,408,619-240,860,333

More Examples

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