Q: What are the factor combinations of the number 24,703,235?

 A:
Positive:   1 x 247032355 x 494064737 x 66765567 x 368705185 x 133531335 x 737411993 x 123952479 x 9965
Negative: -1 x -24703235-5 x -4940647-37 x -667655-67 x -368705-185 x -133531-335 x -73741-1993 x -12395-2479 x -9965


How do I find the factor combinations of the number 24,703,235?

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 24,703,235, 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 24,703,235
-1 -24,703,235

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 24,703,235.

Example:
1 x 24,703,235 = 24,703,235
and
-1 x -24,703,235 = 24,703,235
Notice both answers equal 24,703,235

With that explanation out of the way, let's continue. Next, we take the number 24,703,235 and divide it by 2:

24,703,235 ÷ 2 = 12,351,617.5

If the quotient is a whole number, then 2 and 12,351,617.5 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 24,703,235
-1 -24,703,235

Now, we try dividing 24,703,235 by 3:

24,703,235 ÷ 3 = 8,234,411.6667

If the quotient is a whole number, then 3 and 8,234,411.6667 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 24,703,235
-1 -24,703,235

Let's try dividing by 4:

24,703,235 ÷ 4 = 6,175,808.75

If the quotient is a whole number, then 4 and 6,175,808.75 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 24,703,235
-1 24,703,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1537671853351,9932,4799,96512,39573,741133,531368,705667,6554,940,64724,703,235
-1-5-37-67-185-335-1,993-2,479-9,965-12,395-73,741-133,531-368,705-667,655-4,940,647-24,703,235

More Examples

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