Q: What are the factor combinations of the number 24,229,645?

 A:
Positive:   1 x 242296455 x 484592911 x 220269529 x 83550555 x 440539121 x 200245145 x 167101319 x 75955605 x 400491381 x 175451595 x 151913509 x 6905
Negative: -1 x -24229645-5 x -4845929-11 x -2202695-29 x -835505-55 x -440539-121 x -200245-145 x -167101-319 x -75955-605 x -40049-1381 x -17545-1595 x -15191-3509 x -6905


How do I find the factor combinations of the number 24,229,645?

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 24,229,645, 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 24,229,645
-1 -24,229,645

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 24,229,645.

Example:
1 x 24,229,645 = 24,229,645
and
-1 x -24,229,645 = 24,229,645
Notice both answers equal 24,229,645

With that explanation out of the way, let's continue. Next, we take the number 24,229,645 and divide it by 2:

24,229,645 ÷ 2 = 12,114,822.5

If the quotient is a whole number, then 2 and 12,114,822.5 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 24,229,645
-1 -24,229,645

Now, we try dividing 24,229,645 by 3:

24,229,645 ÷ 3 = 8,076,548.3333

If the quotient is a whole number, then 3 and 8,076,548.3333 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 24,229,645
-1 -24,229,645

Let's try dividing by 4:

24,229,645 ÷ 4 = 6,057,411.25

If the quotient is a whole number, then 4 and 6,057,411.25 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 24,229,645
-1 24,229,645
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551211453196051,3811,5953,5096,90515,19117,54540,04975,955167,101200,245440,539835,5052,202,6954,845,92924,229,645
-1-5-11-29-55-121-145-319-605-1,381-1,595-3,509-6,905-15,191-17,545-40,049-75,955-167,101-200,245-440,539-835,505-2,202,695-4,845,929-24,229,645

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,229,645:


Ask a Question