Q: What are the factor combinations of the number 243,324,431?

 A:
Positive:   1 x 2433244317 x 3476063319 x 1280654953 x 4591027133 x 1829507371 x 6558611007 x 2416337049 x 34519
Negative: -1 x -243324431-7 x -34760633-19 x -12806549-53 x -4591027-133 x -1829507-371 x -655861-1007 x -241633-7049 x -34519


How do I find the factor combinations of the number 243,324,431?

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 243,324,431, 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.

1 243,324,431
-1 -243,324,431

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 243,324,431.

Example:
1 x 243,324,431 = 243,324,431
and
-1 x -243,324,431 = 243,324,431
Notice both answers equal 243,324,431

With that explanation out of the way, let's continue. Next, we take the number 243,324,431 and divide it by 2:

243,324,431 ÷ 2 = 121,662,215.5

If the quotient is a whole number, then 2 and 121,662,215.5 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:

1 243,324,431
-1 -243,324,431

Now, we try dividing 243,324,431 by 3:

243,324,431 ÷ 3 = 81,108,143.6667

If the quotient is a whole number, then 3 and 81,108,143.6667 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:

1 243,324,431
-1 -243,324,431

Let's try dividing by 4:

243,324,431 ÷ 4 = 60,831,107.75

If the quotient is a whole number, then 4 and 60,831,107.75 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:

1 243,324,431
-1 243,324,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1719531333711,0077,04934,519241,633655,8611,829,5074,591,02712,806,54934,760,633243,324,431
-1-7-19-53-133-371-1,007-7,049-34,519-241,633-655,861-1,829,507-4,591,027-12,806,549-34,760,633-243,324,431

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 243,324,431:


Ask a Question