Q: What are the factor combinations of the number 43,321,043?

 A:
Positive:   1 x 4332104331 x 139745337 x 1170839179 x 242017211 x 2053131147 x 377695549 x 78076541 x 6623
Negative: -1 x -43321043-31 x -1397453-37 x -1170839-179 x -242017-211 x -205313-1147 x -37769-5549 x -7807-6541 x -6623


How do I find the factor combinations of the number 43,321,043?

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 43,321,043, 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 43,321,043
-1 -43,321,043

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 43,321,043.

Example:
1 x 43,321,043 = 43,321,043
and
-1 x -43,321,043 = 43,321,043
Notice both answers equal 43,321,043

With that explanation out of the way, let's continue. Next, we take the number 43,321,043 and divide it by 2:

43,321,043 ÷ 2 = 21,660,521.5

If the quotient is a whole number, then 2 and 21,660,521.5 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 43,321,043
-1 -43,321,043

Now, we try dividing 43,321,043 by 3:

43,321,043 ÷ 3 = 14,440,347.6667

If the quotient is a whole number, then 3 and 14,440,347.6667 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 43,321,043
-1 -43,321,043

Let's try dividing by 4:

43,321,043 ÷ 4 = 10,830,260.75

If the quotient is a whole number, then 4 and 10,830,260.75 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 43,321,043
-1 43,321,043
Keep dividing by the next highest number until you cannot divide anymore.

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

131371792111,1475,5496,5416,6237,80737,769205,313242,0171,170,8391,397,45343,321,043
-1-31-37-179-211-1,147-5,549-6,541-6,623-7,807-37,769-205,313-242,017-1,170,839-1,397,453-43,321,043

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