Q: What are the factor combinations of the number 30,231,145?

 A:
Positive:   1 x 302311455 x 60462297 x 431873535 x 86374741 x 737345205 x 147469287 x 1053351435 x 21067
Negative: -1 x -30231145-5 x -6046229-7 x -4318735-35 x -863747-41 x -737345-205 x -147469-287 x -105335-1435 x -21067


How do I find the factor combinations of the number 30,231,145?

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 30,231,145, 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 30,231,145
-1 -30,231,145

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 30,231,145.

Example:
1 x 30,231,145 = 30,231,145
and
-1 x -30,231,145 = 30,231,145
Notice both answers equal 30,231,145

With that explanation out of the way, let's continue. Next, we take the number 30,231,145 and divide it by 2:

30,231,145 ÷ 2 = 15,115,572.5

If the quotient is a whole number, then 2 and 15,115,572.5 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 30,231,145
-1 -30,231,145

Now, we try dividing 30,231,145 by 3:

30,231,145 ÷ 3 = 10,077,048.3333

If the quotient is a whole number, then 3 and 10,077,048.3333 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 30,231,145
-1 -30,231,145

Let's try dividing by 4:

30,231,145 ÷ 4 = 7,557,786.25

If the quotient is a whole number, then 4 and 7,557,786.25 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 30,231,145
-1 30,231,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,43521,067105,335147,469737,345863,7474,318,7356,046,22930,231,145
-1-5-7-35-41-205-287-1,435-21,067-105,335-147,469-737,345-863,747-4,318,735-6,046,229-30,231,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 30,231,145:


Ask a Question