Q: What are the factor combinations of the number 42,046,433?

 A:
Positive:   1 x 4204643311 x 382240313 x 323434129 x 1449877143 x 294031319 x 131807377 x 1115294147 x 10139
Negative: -1 x -42046433-11 x -3822403-13 x -3234341-29 x -1449877-143 x -294031-319 x -131807-377 x -111529-4147 x -10139


How do I find the factor combinations of the number 42,046,433?

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 42,046,433, 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 42,046,433
-1 -42,046,433

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 42,046,433.

Example:
1 x 42,046,433 = 42,046,433
and
-1 x -42,046,433 = 42,046,433
Notice both answers equal 42,046,433

With that explanation out of the way, let's continue. Next, we take the number 42,046,433 and divide it by 2:

42,046,433 ÷ 2 = 21,023,216.5

If the quotient is a whole number, then 2 and 21,023,216.5 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 42,046,433
-1 -42,046,433

Now, we try dividing 42,046,433 by 3:

42,046,433 ÷ 3 = 14,015,477.6667

If the quotient is a whole number, then 3 and 14,015,477.6667 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 42,046,433
-1 -42,046,433

Let's try dividing by 4:

42,046,433 ÷ 4 = 10,511,608.25

If the quotient is a whole number, then 4 and 10,511,608.25 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 42,046,433
-1 42,046,433
Keep dividing by the next highest number until you cannot divide anymore.

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

11113291433193774,14710,139111,529131,807294,0311,449,8773,234,3413,822,40342,046,433
-1-11-13-29-143-319-377-4,147-10,139-111,529-131,807-294,031-1,449,877-3,234,341-3,822,403-42,046,433

More Examples

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