Q: What are the factor combinations of the number 24,888,271?

 A:
Positive:   1 x 2488827119 x 130990941 x 60703143 x 578797743 x 33497779 x 31949817 x 304631763 x 14117
Negative: -1 x -24888271-19 x -1309909-41 x -607031-43 x -578797-743 x -33497-779 x -31949-817 x -30463-1763 x -14117


How do I find the factor combinations of the number 24,888,271?

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 24,888,271, 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 24,888,271
-1 -24,888,271

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 24,888,271.

Example:
1 x 24,888,271 = 24,888,271
and
-1 x -24,888,271 = 24,888,271
Notice both answers equal 24,888,271

With that explanation out of the way, let's continue. Next, we take the number 24,888,271 and divide it by 2:

24,888,271 ÷ 2 = 12,444,135.5

If the quotient is a whole number, then 2 and 12,444,135.5 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 24,888,271
-1 -24,888,271

Now, we try dividing 24,888,271 by 3:

24,888,271 ÷ 3 = 8,296,090.3333

If the quotient is a whole number, then 3 and 8,296,090.3333 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 24,888,271
-1 -24,888,271

Let's try dividing by 4:

24,888,271 ÷ 4 = 6,222,067.75

If the quotient is a whole number, then 4 and 6,222,067.75 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 24,888,271
-1 24,888,271
Keep dividing by the next highest number until you cannot divide anymore.

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

11941437437798171,76314,11730,46331,94933,497578,797607,0311,309,90924,888,271
-1-19-41-43-743-779-817-1,763-14,117-30,463-31,949-33,497-578,797-607,031-1,309,909-24,888,271

More Examples

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