Q: What are the factor combinations of the number 33,442,423?

 A:
Positive:   1 x 334424237 x 477748929 x 1153187151 x 221473203 x 1647411057 x 316391091 x 306534379 x 7637
Negative: -1 x -33442423-7 x -4777489-29 x -1153187-151 x -221473-203 x -164741-1057 x -31639-1091 x -30653-4379 x -7637


How do I find the factor combinations of the number 33,442,423?

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 33,442,423, 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 33,442,423
-1 -33,442,423

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 33,442,423.

Example:
1 x 33,442,423 = 33,442,423
and
-1 x -33,442,423 = 33,442,423
Notice both answers equal 33,442,423

With that explanation out of the way, let's continue. Next, we take the number 33,442,423 and divide it by 2:

33,442,423 ÷ 2 = 16,721,211.5

If the quotient is a whole number, then 2 and 16,721,211.5 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 33,442,423
-1 -33,442,423

Now, we try dividing 33,442,423 by 3:

33,442,423 ÷ 3 = 11,147,474.3333

If the quotient is a whole number, then 3 and 11,147,474.3333 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 33,442,423
-1 -33,442,423

Let's try dividing by 4:

33,442,423 ÷ 4 = 8,360,605.75

If the quotient is a whole number, then 4 and 8,360,605.75 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 33,442,423
-1 33,442,423
Keep dividing by the next highest number until you cannot divide anymore.

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

17291512031,0571,0914,3797,63730,65331,639164,741221,4731,153,1874,777,48933,442,423
-1-7-29-151-203-1,057-1,091-4,379-7,637-30,653-31,639-164,741-221,473-1,153,187-4,777,489-33,442,423

More Examples

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