Q: What are the factor combinations of the number 42,208,243?

 A:
Positive:   1 x 422082437 x 602974911 x 383711323 x 183514177 x 548159161 x 262163253 x 1668311771 x 23833
Negative: -1 x -42208243-7 x -6029749-11 x -3837113-23 x -1835141-77 x -548159-161 x -262163-253 x -166831-1771 x -23833


How do I find the factor combinations of the number 42,208,243?

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 42,208,243, 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 42,208,243
-1 -42,208,243

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 42,208,243.

Example:
1 x 42,208,243 = 42,208,243
and
-1 x -42,208,243 = 42,208,243
Notice both answers equal 42,208,243

With that explanation out of the way, let's continue. Next, we take the number 42,208,243 and divide it by 2:

42,208,243 ÷ 2 = 21,104,121.5

If the quotient is a whole number, then 2 and 21,104,121.5 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 42,208,243
-1 -42,208,243

Now, we try dividing 42,208,243 by 3:

42,208,243 ÷ 3 = 14,069,414.3333

If the quotient is a whole number, then 3 and 14,069,414.3333 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 42,208,243
-1 -42,208,243

Let's try dividing by 4:

42,208,243 ÷ 4 = 10,552,060.75

If the quotient is a whole number, then 4 and 10,552,060.75 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 42,208,243
-1 42,208,243
Keep dividing by the next highest number until you cannot divide anymore.

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

171123771612531,77123,833166,831262,163548,1591,835,1413,837,1136,029,74942,208,243
-1-7-11-23-77-161-253-1,771-23,833-166,831-262,163-548,159-1,835,141-3,837,113-6,029,749-42,208,243

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,208,243:


Ask a Question