Q: What are the factor combinations of the number 303,440,423?

 A:
Positive:   1 x 30344042311 x 2758549313 x 2334157153 x 5725291143 x 2121961583 x 520481689 x 4404077579 x 40037
Negative: -1 x -303440423-11 x -27585493-13 x -23341571-53 x -5725291-143 x -2121961-583 x -520481-689 x -440407-7579 x -40037


How do I find the factor combinations of the number 303,440,423?

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 303,440,423, 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.

1 303,440,423
-1 -303,440,423

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 303,440,423.

Example:
1 x 303,440,423 = 303,440,423
and
-1 x -303,440,423 = 303,440,423
Notice both answers equal 303,440,423

With that explanation out of the way, let's continue. Next, we take the number 303,440,423 and divide it by 2:

303,440,423 ÷ 2 = 151,720,211.5

If the quotient is a whole number, then 2 and 151,720,211.5 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:

1 303,440,423
-1 -303,440,423

Now, we try dividing 303,440,423 by 3:

303,440,423 ÷ 3 = 101,146,807.6667

If the quotient is a whole number, then 3 and 101,146,807.6667 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:

1 303,440,423
-1 -303,440,423

Let's try dividing by 4:

303,440,423 ÷ 4 = 75,860,105.75

If the quotient is a whole number, then 4 and 75,860,105.75 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:

1 303,440,423
-1 303,440,423
Keep dividing by the next highest number until you cannot divide anymore.

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

11113531435836897,57940,037440,407520,4812,121,9615,725,29123,341,57127,585,493303,440,423
-1-11-13-53-143-583-689-7,579-40,037-440,407-520,481-2,121,961-5,725,291-23,341,571-27,585,493-303,440,423

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 303,440,423:


Ask a Question