Q: What are the factor combinations of the number 24,174,505?

 A:
Positive:   1 x 241745055 x 483490137 x 653365149 x 162245185 x 130673745 x 32449877 x 275654385 x 5513
Negative: -1 x -24174505-5 x -4834901-37 x -653365-149 x -162245-185 x -130673-745 x -32449-877 x -27565-4385 x -5513


How do I find the factor combinations of the number 24,174,505?

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 24,174,505, 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 24,174,505
-1 -24,174,505

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 24,174,505.

Example:
1 x 24,174,505 = 24,174,505
and
-1 x -24,174,505 = 24,174,505
Notice both answers equal 24,174,505

With that explanation out of the way, let's continue. Next, we take the number 24,174,505 and divide it by 2:

24,174,505 ÷ 2 = 12,087,252.5

If the quotient is a whole number, then 2 and 12,087,252.5 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 24,174,505
-1 -24,174,505

Now, we try dividing 24,174,505 by 3:

24,174,505 ÷ 3 = 8,058,168.3333

If the quotient is a whole number, then 3 and 8,058,168.3333 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 24,174,505
-1 -24,174,505

Let's try dividing by 4:

24,174,505 ÷ 4 = 6,043,626.25

If the quotient is a whole number, then 4 and 6,043,626.25 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 24,174,505
-1 24,174,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15371491857458774,3855,51327,56532,449130,673162,245653,3654,834,90124,174,505
-1-5-37-149-185-745-877-4,385-5,513-27,565-32,449-130,673-162,245-653,365-4,834,901-24,174,505

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,174,505:


Ask a Question