Q: What are the factor combinations of the number 24,256,465?

 A:
Positive:   1 x 242564655 x 485129347 x 516095233 x 104105235 x 103219443 x 547551165 x 208212215 x 10951
Negative: -1 x -24256465-5 x -4851293-47 x -516095-233 x -104105-235 x -103219-443 x -54755-1165 x -20821-2215 x -10951


How do I find the factor combinations of the number 24,256,465?

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 24,256,465, 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 24,256,465
-1 -24,256,465

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 24,256,465.

Example:
1 x 24,256,465 = 24,256,465
and
-1 x -24,256,465 = 24,256,465
Notice both answers equal 24,256,465

With that explanation out of the way, let's continue. Next, we take the number 24,256,465 and divide it by 2:

24,256,465 ÷ 2 = 12,128,232.5

If the quotient is a whole number, then 2 and 12,128,232.5 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 24,256,465
-1 -24,256,465

Now, we try dividing 24,256,465 by 3:

24,256,465 ÷ 3 = 8,085,488.3333

If the quotient is a whole number, then 3 and 8,085,488.3333 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 24,256,465
-1 -24,256,465

Let's try dividing by 4:

24,256,465 ÷ 4 = 6,064,116.25

If the quotient is a whole number, then 4 and 6,064,116.25 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 24,256,465
-1 24,256,465
Keep dividing by the next highest number until you cannot divide anymore.

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

15472332354431,1652,21510,95120,82154,755103,219104,105516,0954,851,29324,256,465
-1-5-47-233-235-443-1,165-2,215-10,951-20,821-54,755-103,219-104,105-516,095-4,851,293-24,256,465

More Examples

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