Q: What are the factor combinations of the number 44,036,729?

 A:
Positive:   1 x 4403672911 x 400333983 x 530563139 x 316811347 x 126907913 x 482331529 x 288013817 x 11537
Negative: -1 x -44036729-11 x -4003339-83 x -530563-139 x -316811-347 x -126907-913 x -48233-1529 x -28801-3817 x -11537


How do I find the factor combinations of the number 44,036,729?

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 44,036,729, 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 44,036,729
-1 -44,036,729

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 44,036,729.

Example:
1 x 44,036,729 = 44,036,729
and
-1 x -44,036,729 = 44,036,729
Notice both answers equal 44,036,729

With that explanation out of the way, let's continue. Next, we take the number 44,036,729 and divide it by 2:

44,036,729 ÷ 2 = 22,018,364.5

If the quotient is a whole number, then 2 and 22,018,364.5 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 44,036,729
-1 -44,036,729

Now, we try dividing 44,036,729 by 3:

44,036,729 ÷ 3 = 14,678,909.6667

If the quotient is a whole number, then 3 and 14,678,909.6667 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 44,036,729
-1 -44,036,729

Let's try dividing by 4:

44,036,729 ÷ 4 = 11,009,182.25

If the quotient is a whole number, then 4 and 11,009,182.25 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 44,036,729
-1 44,036,729
Keep dividing by the next highest number until you cannot divide anymore.

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

111831393479131,5293,81711,53728,80148,233126,907316,811530,5634,003,33944,036,729
-1-11-83-139-347-913-1,529-3,817-11,537-28,801-48,233-126,907-316,811-530,563-4,003,339-44,036,729

More Examples

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