Q: What are the factor combinations of the number 24,120,415?

 A:
Positive:   1 x 241204155 x 482408311 x 219276555 x 438553113 x 213455565 x 426911243 x 194053881 x 6215
Negative: -1 x -24120415-5 x -4824083-11 x -2192765-55 x -438553-113 x -213455-565 x -42691-1243 x -19405-3881 x -6215


How do I find the factor combinations of the number 24,120,415?

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 24,120,415, 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 24,120,415
-1 -24,120,415

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 24,120,415.

Example:
1 x 24,120,415 = 24,120,415
and
-1 x -24,120,415 = 24,120,415
Notice both answers equal 24,120,415

With that explanation out of the way, let's continue. Next, we take the number 24,120,415 and divide it by 2:

24,120,415 ÷ 2 = 12,060,207.5

If the quotient is a whole number, then 2 and 12,060,207.5 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 24,120,415
-1 -24,120,415

Now, we try dividing 24,120,415 by 3:

24,120,415 ÷ 3 = 8,040,138.3333

If the quotient is a whole number, then 3 and 8,040,138.3333 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 24,120,415
-1 -24,120,415

Let's try dividing by 4:

24,120,415 ÷ 4 = 6,030,103.75

If the quotient is a whole number, then 4 and 6,030,103.75 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 24,120,415
-1 24,120,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551135651,2433,8816,21519,40542,691213,455438,5532,192,7654,824,08324,120,415
-1-5-11-55-113-565-1,243-3,881-6,215-19,405-42,691-213,455-438,553-2,192,765-4,824,083-24,120,415

More Examples

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