Q: What are the factor combinations of the number 24,013,415?

 A:
Positive:   1 x 240134155 x 4802683
Negative: -1 x -24013415-5 x -4802683


How do I find the factor combinations of the number 24,013,415?

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 24,013,415, 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 24,013,415
-1 -24,013,415

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 24,013,415.

Example:
1 x 24,013,415 = 24,013,415
and
-1 x -24,013,415 = 24,013,415
Notice both answers equal 24,013,415

With that explanation out of the way, let's continue. Next, we take the number 24,013,415 and divide it by 2:

24,013,415 ÷ 2 = 12,006,707.5

If the quotient is a whole number, then 2 and 12,006,707.5 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 24,013,415
-1 -24,013,415

Now, we try dividing 24,013,415 by 3:

24,013,415 ÷ 3 = 8,004,471.6667

If the quotient is a whole number, then 3 and 8,004,471.6667 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 24,013,415
-1 -24,013,415

Let's try dividing by 4:

24,013,415 ÷ 4 = 6,003,353.75

If the quotient is a whole number, then 4 and 6,003,353.75 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 24,013,415
-1 24,013,415
Keep dividing by the next highest number until you cannot divide anymore.

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

154,802,68324,013,415
-1-5-4,802,683-24,013,415

More Examples

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