Q: What are the factor combinations of the number 42,243,433?

 A:
Positive:   1 x 4224343323 x 183667167 x 63049979 x 534727347 x 1217391541 x 274131817 x 232495293 x 7981
Negative: -1 x -42243433-23 x -1836671-67 x -630499-79 x -534727-347 x -121739-1541 x -27413-1817 x -23249-5293 x -7981


How do I find the factor combinations of the number 42,243,433?

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 42,243,433, 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 42,243,433
-1 -42,243,433

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 42,243,433.

Example:
1 x 42,243,433 = 42,243,433
and
-1 x -42,243,433 = 42,243,433
Notice both answers equal 42,243,433

With that explanation out of the way, let's continue. Next, we take the number 42,243,433 and divide it by 2:

42,243,433 ÷ 2 = 21,121,716.5

If the quotient is a whole number, then 2 and 21,121,716.5 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 42,243,433
-1 -42,243,433

Now, we try dividing 42,243,433 by 3:

42,243,433 ÷ 3 = 14,081,144.3333

If the quotient is a whole number, then 3 and 14,081,144.3333 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 42,243,433
-1 -42,243,433

Let's try dividing by 4:

42,243,433 ÷ 4 = 10,560,858.25

If the quotient is a whole number, then 4 and 10,560,858.25 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 42,243,433
-1 42,243,433
Keep dividing by the next highest number until you cannot divide anymore.

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

12367793471,5411,8175,2937,98123,24927,413121,739534,727630,4991,836,67142,243,433
-1-23-67-79-347-1,541-1,817-5,293-7,981-23,249-27,413-121,739-534,727-630,499-1,836,671-42,243,433

More Examples

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