Q: What are the factor combinations of the number 24,611,575?

 A:
Positive:   1 x 246115755 x 492231525 x 98446329 x 84867583 x 296525145 x 169735409 x 60175415 x 59305725 x 339472045 x 120352075 x 118612407 x 10225
Negative: -1 x -24611575-5 x -4922315-25 x -984463-29 x -848675-83 x -296525-145 x -169735-409 x -60175-415 x -59305-725 x -33947-2045 x -12035-2075 x -11861-2407 x -10225


How do I find the factor combinations of the number 24,611,575?

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 24,611,575, 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 24,611,575
-1 -24,611,575

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 24,611,575.

Example:
1 x 24,611,575 = 24,611,575
and
-1 x -24,611,575 = 24,611,575
Notice both answers equal 24,611,575

With that explanation out of the way, let's continue. Next, we take the number 24,611,575 and divide it by 2:

24,611,575 ÷ 2 = 12,305,787.5

If the quotient is a whole number, then 2 and 12,305,787.5 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 24,611,575
-1 -24,611,575

Now, we try dividing 24,611,575 by 3:

24,611,575 ÷ 3 = 8,203,858.3333

If the quotient is a whole number, then 3 and 8,203,858.3333 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 24,611,575
-1 -24,611,575

Let's try dividing by 4:

24,611,575 ÷ 4 = 6,152,893.75

If the quotient is a whole number, then 4 and 6,152,893.75 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 24,611,575
-1 24,611,575
Keep dividing by the next highest number until you cannot divide anymore.

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

152529831454094157252,0452,0752,40710,22511,86112,03533,94759,30560,175169,735296,525848,675984,4634,922,31524,611,575
-1-5-25-29-83-145-409-415-725-2,045-2,075-2,407-10,225-11,861-12,035-33,947-59,305-60,175-169,735-296,525-848,675-984,463-4,922,315-24,611,575

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