Q: What are the factor combinations of the number 24,483,745?

 A:
Positive:   1 x 244837455 x 489674911 x 222579513 x 188336555 x 44515965 x 376673121 x 202345143 x 171215283 x 86515605 x 40469715 x 342431331 x 183951415 x 173031573 x 155653113 x 78653679 x 6655
Negative: -1 x -24483745-5 x -4896749-11 x -2225795-13 x -1883365-55 x -445159-65 x -376673-121 x -202345-143 x -171215-283 x -86515-605 x -40469-715 x -34243-1331 x -18395-1415 x -17303-1573 x -15565-3113 x -7865-3679 x -6655


How do I find the factor combinations of the number 24,483,745?

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 24,483,745, 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 24,483,745
-1 -24,483,745

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 24,483,745.

Example:
1 x 24,483,745 = 24,483,745
and
-1 x -24,483,745 = 24,483,745
Notice both answers equal 24,483,745

With that explanation out of the way, let's continue. Next, we take the number 24,483,745 and divide it by 2:

24,483,745 ÷ 2 = 12,241,872.5

If the quotient is a whole number, then 2 and 12,241,872.5 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 24,483,745
-1 -24,483,745

Now, we try dividing 24,483,745 by 3:

24,483,745 ÷ 3 = 8,161,248.3333

If the quotient is a whole number, then 3 and 8,161,248.3333 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 24,483,745
-1 -24,483,745

Let's try dividing by 4:

24,483,745 ÷ 4 = 6,120,936.25

If the quotient is a whole number, then 4 and 6,120,936.25 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 24,483,745
-1 24,483,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651211432836057151,3311,4151,5733,1133,6796,6557,86515,56517,30318,39534,24340,46986,515171,215202,345376,673445,1591,883,3652,225,7954,896,74924,483,745
-1-5-11-13-55-65-121-143-283-605-715-1,331-1,415-1,573-3,113-3,679-6,655-7,865-15,565-17,303-18,395-34,243-40,469-86,515-171,215-202,345-376,673-445,159-1,883,365-2,225,795-4,896,749-24,483,745

More Examples

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