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

 A:
Positive:   1 x 424334337 x 606191947 x 902839101 x 420133329 x 128977707 x 600191277 x 332294747 x 8939
Negative: -1 x -42433433-7 x -6061919-47 x -902839-101 x -420133-329 x -128977-707 x -60019-1277 x -33229-4747 x -8939


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

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

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 42,433,433.

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

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

42,433,433 ÷ 2 = 21,216,716.5

If the quotient is a whole number, then 2 and 21,216,716.5 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 42,433,433
-1 -42,433,433

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

42,433,433 ÷ 3 = 14,144,477.6667

If the quotient is a whole number, then 3 and 14,144,477.6667 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 42,433,433
-1 -42,433,433

Let's try dividing by 4:

42,433,433 ÷ 4 = 10,608,358.25

If the quotient is a whole number, then 4 and 10,608,358.25 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 42,433,433
-1 42,433,433
Keep dividing by the next highest number until you cannot divide anymore.

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

17471013297071,2774,7478,93933,22960,019128,977420,133902,8396,061,91942,433,433
-1-7-47-101-329-707-1,277-4,747-8,939-33,229-60,019-128,977-420,133-902,839-6,061,919-42,433,433

More Examples

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