Q: What are the factor combinations of the number 104,433,043?

 A:
Positive:   1 x 10443304311 x 949391313 x 8033311121 x 863083143 x 730301169 x 6179471573 x 663911859 x 561775107 x 20449
Negative: -1 x -104433043-11 x -9493913-13 x -8033311-121 x -863083-143 x -730301-169 x -617947-1573 x -66391-1859 x -56177-5107 x -20449


How do I find the factor combinations of the number 104,433,043?

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 104,433,043, 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.

1 104,433,043
-1 -104,433,043

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 104,433,043.

Example:
1 x 104,433,043 = 104,433,043
and
-1 x -104,433,043 = 104,433,043
Notice both answers equal 104,433,043

With that explanation out of the way, let's continue. Next, we take the number 104,433,043 and divide it by 2:

104,433,043 ÷ 2 = 52,216,521.5

If the quotient is a whole number, then 2 and 52,216,521.5 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:

1 104,433,043
-1 -104,433,043

Now, we try dividing 104,433,043 by 3:

104,433,043 ÷ 3 = 34,811,014.3333

If the quotient is a whole number, then 3 and 34,811,014.3333 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:

1 104,433,043
-1 -104,433,043

Let's try dividing by 4:

104,433,043 ÷ 4 = 26,108,260.75

If the quotient is a whole number, then 4 and 26,108,260.75 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:

1 104,433,043
-1 104,433,043
Keep dividing by the next highest number until you cannot divide anymore.

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

111131211431691,5731,8595,10720,44956,17766,391617,947730,301863,0838,033,3119,493,913104,433,043
-1-11-13-121-143-169-1,573-1,859-5,107-20,449-56,177-66,391-617,947-730,301-863,083-8,033,311-9,493,913-104,433,043

More Examples

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