Q: What are the factor combinations of the number 24,213,325?

 A:
Positive:   1 x 242133255 x 484266525 x 96853331 x 781075155 x 156215157 x 154225199 x 121675775 x 31243785 x 30845995 x 243353925 x 61694867 x 4975
Negative: -1 x -24213325-5 x -4842665-25 x -968533-31 x -781075-155 x -156215-157 x -154225-199 x -121675-775 x -31243-785 x -30845-995 x -24335-3925 x -6169-4867 x -4975


How do I find the factor combinations of the number 24,213,325?

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 24,213,325, 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 24,213,325
-1 -24,213,325

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 24,213,325.

Example:
1 x 24,213,325 = 24,213,325
and
-1 x -24,213,325 = 24,213,325
Notice both answers equal 24,213,325

With that explanation out of the way, let's continue. Next, we take the number 24,213,325 and divide it by 2:

24,213,325 ÷ 2 = 12,106,662.5

If the quotient is a whole number, then 2 and 12,106,662.5 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 24,213,325
-1 -24,213,325

Now, we try dividing 24,213,325 by 3:

24,213,325 ÷ 3 = 8,071,108.3333

If the quotient is a whole number, then 3 and 8,071,108.3333 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 24,213,325
-1 -24,213,325

Let's try dividing by 4:

24,213,325 ÷ 4 = 6,053,331.25

If the quotient is a whole number, then 4 and 6,053,331.25 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 24,213,325
-1 24,213,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311551571997757859953,9254,8674,9756,16924,33530,84531,243121,675154,225156,215781,075968,5334,842,66524,213,325
-1-5-25-31-155-157-199-775-785-995-3,925-4,867-4,975-6,169-24,335-30,845-31,243-121,675-154,225-156,215-781,075-968,533-4,842,665-24,213,325

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,213,325:


Ask a Question