Q: What are the factor combinations of the number 24,610,705?

 A:
Positive:   1 x 246107055 x 49221417 x 351581529 x 84864535 x 703163145 x 169729203 x 1212351015 x 24247
Negative: -1 x -24610705-5 x -4922141-7 x -3515815-29 x -848645-35 x -703163-145 x -169729-203 x -121235-1015 x -24247


How do I find the factor combinations of the number 24,610,705?

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 24,610,705, 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 24,610,705
-1 -24,610,705

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 24,610,705.

Example:
1 x 24,610,705 = 24,610,705
and
-1 x -24,610,705 = 24,610,705
Notice both answers equal 24,610,705

With that explanation out of the way, let's continue. Next, we take the number 24,610,705 and divide it by 2:

24,610,705 ÷ 2 = 12,305,352.5

If the quotient is a whole number, then 2 and 12,305,352.5 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 24,610,705
-1 -24,610,705

Now, we try dividing 24,610,705 by 3:

24,610,705 ÷ 3 = 8,203,568.3333

If the quotient is a whole number, then 3 and 8,203,568.3333 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 24,610,705
-1 -24,610,705

Let's try dividing by 4:

24,610,705 ÷ 4 = 6,152,676.25

If the quotient is a whole number, then 4 and 6,152,676.25 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 24,610,705
-1 24,610,705
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,01524,247121,235169,729703,163848,6453,515,8154,922,14124,610,705
-1-5-7-29-35-145-203-1,015-24,247-121,235-169,729-703,163-848,645-3,515,815-4,922,141-24,610,705

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,610,705:


Ask a Question