Q: What are the factor combinations of the number 24,243,415?

 A:
Positive:   1 x 242434155 x 48486837 x 346334535 x 692669313 x 774551565 x 154912191 x 110652213 x 10955
Negative: -1 x -24243415-5 x -4848683-7 x -3463345-35 x -692669-313 x -77455-1565 x -15491-2191 x -11065-2213 x -10955


How do I find the factor combinations of the number 24,243,415?

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 24,243,415, 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 24,243,415
-1 -24,243,415

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 24,243,415.

Example:
1 x 24,243,415 = 24,243,415
and
-1 x -24,243,415 = 24,243,415
Notice both answers equal 24,243,415

With that explanation out of the way, let's continue. Next, we take the number 24,243,415 and divide it by 2:

24,243,415 ÷ 2 = 12,121,707.5

If the quotient is a whole number, then 2 and 12,121,707.5 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 24,243,415
-1 -24,243,415

Now, we try dividing 24,243,415 by 3:

24,243,415 ÷ 3 = 8,081,138.3333

If the quotient is a whole number, then 3 and 8,081,138.3333 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 24,243,415
-1 -24,243,415

Let's try dividing by 4:

24,243,415 ÷ 4 = 6,060,853.75

If the quotient is a whole number, then 4 and 6,060,853.75 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 24,243,415
-1 24,243,415
Keep dividing by the next highest number until you cannot divide anymore.

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

157353131,5652,1912,21310,95511,06515,49177,455692,6693,463,3454,848,68324,243,415
-1-5-7-35-313-1,565-2,191-2,213-10,955-11,065-15,491-77,455-692,669-3,463,345-4,848,683-24,243,415

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,243,415:


Ask a Question