Q: What are the factor combinations of the number 222,331,333?

 A:
Positive:   1 x 2223313337 x 31761619109 x 2039737211 x 1053703763 x 2913911381 x 1609931477 x 1505299667 x 22999
Negative: -1 x -222331333-7 x -31761619-109 x -2039737-211 x -1053703-763 x -291391-1381 x -160993-1477 x -150529-9667 x -22999


How do I find the factor combinations of the number 222,331,333?

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 222,331,333, 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.

1 222,331,333
-1 -222,331,333

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 222,331,333.

Example:
1 x 222,331,333 = 222,331,333
and
-1 x -222,331,333 = 222,331,333
Notice both answers equal 222,331,333

With that explanation out of the way, let's continue. Next, we take the number 222,331,333 and divide it by 2:

222,331,333 ÷ 2 = 111,165,666.5

If the quotient is a whole number, then 2 and 111,165,666.5 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:

1 222,331,333
-1 -222,331,333

Now, we try dividing 222,331,333 by 3:

222,331,333 ÷ 3 = 74,110,444.3333

If the quotient is a whole number, then 3 and 74,110,444.3333 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:

1 222,331,333
-1 -222,331,333

Let's try dividing by 4:

222,331,333 ÷ 4 = 55,582,833.25

If the quotient is a whole number, then 4 and 55,582,833.25 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:

1 222,331,333
-1 222,331,333
Keep dividing by the next highest number until you cannot divide anymore.

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

171092117631,3811,4779,66722,999150,529160,993291,3911,053,7032,039,73731,761,619222,331,333
-1-7-109-211-763-1,381-1,477-9,667-22,999-150,529-160,993-291,391-1,053,703-2,039,737-31,761,619-222,331,333

More Examples

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