Q: What are the factor combinations of the number 333,710,299?

 A:
Positive:   1 x 33371029913 x 2567002379 x 4224181293 x 11389431027 x 3249371109 x 3009113809 x 8761114417 x 23147
Negative: -1 x -333710299-13 x -25670023-79 x -4224181-293 x -1138943-1027 x -324937-1109 x -300911-3809 x -87611-14417 x -23147


How do I find the factor combinations of the number 333,710,299?

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 333,710,299, 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.

1 333,710,299
-1 -333,710,299

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 333,710,299.

Example:
1 x 333,710,299 = 333,710,299
and
-1 x -333,710,299 = 333,710,299
Notice both answers equal 333,710,299

With that explanation out of the way, let's continue. Next, we take the number 333,710,299 and divide it by 2:

333,710,299 ÷ 2 = 166,855,149.5

If the quotient is a whole number, then 2 and 166,855,149.5 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:

1 333,710,299
-1 -333,710,299

Now, we try dividing 333,710,299 by 3:

333,710,299 ÷ 3 = 111,236,766.3333

If the quotient is a whole number, then 3 and 111,236,766.3333 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:

1 333,710,299
-1 -333,710,299

Let's try dividing by 4:

333,710,299 ÷ 4 = 83,427,574.75

If the quotient is a whole number, then 4 and 83,427,574.75 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:

1 333,710,299
-1 333,710,299
Keep dividing by the next highest number until you cannot divide anymore.

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

113792931,0271,1093,80914,41723,14787,611300,911324,9371,138,9434,224,18125,670,023333,710,299
-1-13-79-293-1,027-1,109-3,809-14,417-23,147-87,611-300,911-324,937-1,138,943-4,224,181-25,670,023-333,710,299

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