Q: What are the factor combinations of the number 24,652,435?

 A:
Positive:   1 x 246524355 x 493048723 x 1071845115 x 214369463 x 532452315 x 10649
Negative: -1 x -24652435-5 x -4930487-23 x -1071845-115 x -214369-463 x -53245-2315 x -10649


How do I find the factor combinations of the number 24,652,435?

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 24,652,435, 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 24,652,435
-1 -24,652,435

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 24,652,435.

Example:
1 x 24,652,435 = 24,652,435
and
-1 x -24,652,435 = 24,652,435
Notice both answers equal 24,652,435

With that explanation out of the way, let's continue. Next, we take the number 24,652,435 and divide it by 2:

24,652,435 ÷ 2 = 12,326,217.5

If the quotient is a whole number, then 2 and 12,326,217.5 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 24,652,435
-1 -24,652,435

Now, we try dividing 24,652,435 by 3:

24,652,435 ÷ 3 = 8,217,478.3333

If the quotient is a whole number, then 3 and 8,217,478.3333 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 24,652,435
-1 -24,652,435

Let's try dividing by 4:

24,652,435 ÷ 4 = 6,163,108.75

If the quotient is a whole number, then 4 and 6,163,108.75 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 24,652,435
-1 24,652,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15231154632,31510,64953,245214,3691,071,8454,930,48724,652,435
-1-5-23-115-463-2,315-10,649-53,245-214,369-1,071,845-4,930,487-24,652,435

More Examples

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