Q: What are the factor combinations of the number 240,066,211?

 A:
Positive:   1 x 2400662117 x 3429517311 x 2182420177 x 3117743461 x 5207513227 x 743935071 x 473416763 x 35497
Negative: -1 x -240066211-7 x -34295173-11 x -21824201-77 x -3117743-461 x -520751-3227 x -74393-5071 x -47341-6763 x -35497


How do I find the factor combinations of the number 240,066,211?

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 240,066,211, 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.

1 240,066,211
-1 -240,066,211

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 240,066,211.

Example:
1 x 240,066,211 = 240,066,211
and
-1 x -240,066,211 = 240,066,211
Notice both answers equal 240,066,211

With that explanation out of the way, let's continue. Next, we take the number 240,066,211 and divide it by 2:

240,066,211 ÷ 2 = 120,033,105.5

If the quotient is a whole number, then 2 and 120,033,105.5 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:

1 240,066,211
-1 -240,066,211

Now, we try dividing 240,066,211 by 3:

240,066,211 ÷ 3 = 80,022,070.3333

If the quotient is a whole number, then 3 and 80,022,070.3333 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:

1 240,066,211
-1 -240,066,211

Let's try dividing by 4:

240,066,211 ÷ 4 = 60,016,552.75

If the quotient is a whole number, then 4 and 60,016,552.75 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:

1 240,066,211
-1 240,066,211
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774613,2275,0716,76335,49747,34174,393520,7513,117,74321,824,20134,295,173240,066,211
-1-7-11-77-461-3,227-5,071-6,763-35,497-47,341-74,393-520,751-3,117,743-21,824,201-34,295,173-240,066,211

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