Q: What are the factor combinations of the number 24,770,945?

 A:
Positive:   1 x 247709455 x 495418937 x 669485185 x 133897257 x 96385521 x 475451285 x 192772605 x 9509
Negative: -1 x -24770945-5 x -4954189-37 x -669485-185 x -133897-257 x -96385-521 x -47545-1285 x -19277-2605 x -9509


How do I find the factor combinations of the number 24,770,945?

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 24,770,945, 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 24,770,945
-1 -24,770,945

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 24,770,945.

Example:
1 x 24,770,945 = 24,770,945
and
-1 x -24,770,945 = 24,770,945
Notice both answers equal 24,770,945

With that explanation out of the way, let's continue. Next, we take the number 24,770,945 and divide it by 2:

24,770,945 ÷ 2 = 12,385,472.5

If the quotient is a whole number, then 2 and 12,385,472.5 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 24,770,945
-1 -24,770,945

Now, we try dividing 24,770,945 by 3:

24,770,945 ÷ 3 = 8,256,981.6667

If the quotient is a whole number, then 3 and 8,256,981.6667 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 24,770,945
-1 -24,770,945

Let's try dividing by 4:

24,770,945 ÷ 4 = 6,192,736.25

If the quotient is a whole number, then 4 and 6,192,736.25 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 24,770,945
-1 24,770,945
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852575211,2852,6059,50919,27747,54596,385133,897669,4854,954,18924,770,945
-1-5-37-185-257-521-1,285-2,605-9,509-19,277-47,545-96,385-133,897-669,485-4,954,189-24,770,945

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,770,945:


Ask a Question