Q: What are the factor combinations of the number 24,335,605?

 A:
Positive:   1 x 243356055 x 48671217 x 347651535 x 69530349 x 49664571 x 342755245 x 99329355 x 68551497 x 489651399 x 173952485 x 97933479 x 6995
Negative: -1 x -24335605-5 x -4867121-7 x -3476515-35 x -695303-49 x -496645-71 x -342755-245 x -99329-355 x -68551-497 x -48965-1399 x -17395-2485 x -9793-3479 x -6995


How do I find the factor combinations of the number 24,335,605?

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 24,335,605, 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 24,335,605
-1 -24,335,605

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 24,335,605.

Example:
1 x 24,335,605 = 24,335,605
and
-1 x -24,335,605 = 24,335,605
Notice both answers equal 24,335,605

With that explanation out of the way, let's continue. Next, we take the number 24,335,605 and divide it by 2:

24,335,605 ÷ 2 = 12,167,802.5

If the quotient is a whole number, then 2 and 12,167,802.5 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 24,335,605
-1 -24,335,605

Now, we try dividing 24,335,605 by 3:

24,335,605 ÷ 3 = 8,111,868.3333

If the quotient is a whole number, then 3 and 8,111,868.3333 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 24,335,605
-1 -24,335,605

Let's try dividing by 4:

24,335,605 ÷ 4 = 6,083,901.25

If the quotient is a whole number, then 4 and 6,083,901.25 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 24,335,605
-1 24,335,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549712453554971,3992,4853,4796,9959,79317,39548,96568,55199,329342,755496,645695,3033,476,5154,867,12124,335,605
-1-5-7-35-49-71-245-355-497-1,399-2,485-3,479-6,995-9,793-17,395-48,965-68,551-99,329-342,755-496,645-695,303-3,476,515-4,867,121-24,335,605

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,335,605:


Ask a Question