Q: What are the factor combinations of the number 24,480,001?

 A:
Positive:   1 x 244800017 x 349714313 x 188307791 x 269011367 x 66703733 x 333972569 x 95294771 x 5131
Negative: -1 x -24480001-7 x -3497143-13 x -1883077-91 x -269011-367 x -66703-733 x -33397-2569 x -9529-4771 x -5131


How do I find the factor combinations of the number 24,480,001?

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 24,480,001, 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 24,480,001
-1 -24,480,001

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 24,480,001.

Example:
1 x 24,480,001 = 24,480,001
and
-1 x -24,480,001 = 24,480,001
Notice both answers equal 24,480,001

With that explanation out of the way, let's continue. Next, we take the number 24,480,001 and divide it by 2:

24,480,001 ÷ 2 = 12,240,000.5

If the quotient is a whole number, then 2 and 12,240,000.5 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 24,480,001
-1 -24,480,001

Now, we try dividing 24,480,001 by 3:

24,480,001 ÷ 3 = 8,160,000.3333

If the quotient is a whole number, then 3 and 8,160,000.3333 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 24,480,001
-1 -24,480,001

Let's try dividing by 4:

24,480,001 ÷ 4 = 6,120,000.25

If the quotient is a whole number, then 4 and 6,120,000.25 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 24,480,001
-1 24,480,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913677332,5694,7715,1319,52933,39766,703269,0111,883,0773,497,14324,480,001
-1-7-13-91-367-733-2,569-4,771-5,131-9,529-33,397-66,703-269,011-1,883,077-3,497,143-24,480,001

More Examples

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