Q: What are the factor combinations of the number 241,412,827?

 A:
Positive:   1 x 24141282737 x 652467153 x 4554959307 x 786361401 x 6020271961 x 12310711359 x 2125314837 x 16271
Negative: -1 x -241412827-37 x -6524671-53 x -4554959-307 x -786361-401 x -602027-1961 x -123107-11359 x -21253-14837 x -16271


How do I find the factor combinations of the number 241,412,827?

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 241,412,827, 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.

1 241,412,827
-1 -241,412,827

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 241,412,827.

Example:
1 x 241,412,827 = 241,412,827
and
-1 x -241,412,827 = 241,412,827
Notice both answers equal 241,412,827

With that explanation out of the way, let's continue. Next, we take the number 241,412,827 and divide it by 2:

241,412,827 ÷ 2 = 120,706,413.5

If the quotient is a whole number, then 2 and 120,706,413.5 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:

1 241,412,827
-1 -241,412,827

Now, we try dividing 241,412,827 by 3:

241,412,827 ÷ 3 = 80,470,942.3333

If the quotient is a whole number, then 3 and 80,470,942.3333 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:

1 241,412,827
-1 -241,412,827

Let's try dividing by 4:

241,412,827 ÷ 4 = 60,353,206.75

If the quotient is a whole number, then 4 and 60,353,206.75 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:

1 241,412,827
-1 241,412,827
Keep dividing by the next highest number until you cannot divide anymore.

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

137533074011,96111,35914,83716,27121,253123,107602,027786,3614,554,9596,524,671241,412,827
-1-37-53-307-401-1,961-11,359-14,837-16,271-21,253-123,107-602,027-786,361-4,554,959-6,524,671-241,412,827

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 241,412,827:


Ask a Question