Q: What are the factor combinations of the number 43,212,533?

 A:
Positive:   1 x 432125337 x 617321913 x 332404191 x 474863149 x 2900171043 x 414311937 x 223093187 x 13559
Negative: -1 x -43212533-7 x -6173219-13 x -3324041-91 x -474863-149 x -290017-1043 x -41431-1937 x -22309-3187 x -13559


How do I find the factor combinations of the number 43,212,533?

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 43,212,533, 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 43,212,533
-1 -43,212,533

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 43,212,533.

Example:
1 x 43,212,533 = 43,212,533
and
-1 x -43,212,533 = 43,212,533
Notice both answers equal 43,212,533

With that explanation out of the way, let's continue. Next, we take the number 43,212,533 and divide it by 2:

43,212,533 ÷ 2 = 21,606,266.5

If the quotient is a whole number, then 2 and 21,606,266.5 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 43,212,533
-1 -43,212,533

Now, we try dividing 43,212,533 by 3:

43,212,533 ÷ 3 = 14,404,177.6667

If the quotient is a whole number, then 3 and 14,404,177.6667 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 43,212,533
-1 -43,212,533

Let's try dividing by 4:

43,212,533 ÷ 4 = 10,803,133.25

If the quotient is a whole number, then 4 and 10,803,133.25 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 43,212,533
-1 43,212,533
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911491,0431,9373,18713,55922,30941,431290,017474,8633,324,0416,173,21943,212,533
-1-7-13-91-149-1,043-1,937-3,187-13,559-22,309-41,431-290,017-474,863-3,324,041-6,173,219-43,212,533

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