Q: What are the factor combinations of the number 12,046,333?

 A:
Positive:   1 x 1204633313 x 92664141 x 29381397 x 124189233 x 51701533 x 226011261 x 95533029 x 3977
Negative: -1 x -12046333-13 x -926641-41 x -293813-97 x -124189-233 x -51701-533 x -22601-1261 x -9553-3029 x -3977


How do I find the factor combinations of the number 12,046,333?

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 12,046,333, 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 12,046,333
-1 -12,046,333

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 12,046,333.

Example:
1 x 12,046,333 = 12,046,333
and
-1 x -12,046,333 = 12,046,333
Notice both answers equal 12,046,333

With that explanation out of the way, let's continue. Next, we take the number 12,046,333 and divide it by 2:

12,046,333 ÷ 2 = 6,023,166.5

If the quotient is a whole number, then 2 and 6,023,166.5 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 12,046,333
-1 -12,046,333

Now, we try dividing 12,046,333 by 3:

12,046,333 ÷ 3 = 4,015,444.3333

If the quotient is a whole number, then 3 and 4,015,444.3333 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 12,046,333
-1 -12,046,333

Let's try dividing by 4:

12,046,333 ÷ 4 = 3,011,583.25

If the quotient is a whole number, then 4 and 3,011,583.25 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 12,046,333
-1 12,046,333
Keep dividing by the next highest number until you cannot divide anymore.

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

11341972335331,2613,0293,9779,55322,60151,701124,189293,813926,64112,046,333
-1-13-41-97-233-533-1,261-3,029-3,977-9,553-22,601-51,701-124,189-293,813-926,641-12,046,333

More Examples

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