Q: What are the factor combinations of the number 24,036,935?

 A:
Positive:   1 x 240369355 x 480738713 x 184899531 x 77538565 x 36979979 x 304265151 x 159185155 x 155077395 x 60853403 x 59645755 x 318371027 x 234051963 x 122452015 x 119292449 x 98154681 x 5135
Negative: -1 x -24036935-5 x -4807387-13 x -1848995-31 x -775385-65 x -369799-79 x -304265-151 x -159185-155 x -155077-395 x -60853-403 x -59645-755 x -31837-1027 x -23405-1963 x -12245-2015 x -11929-2449 x -9815-4681 x -5135


How do I find the factor combinations of the number 24,036,935?

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 24,036,935, 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 24,036,935
-1 -24,036,935

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 24,036,935.

Example:
1 x 24,036,935 = 24,036,935
and
-1 x -24,036,935 = 24,036,935
Notice both answers equal 24,036,935

With that explanation out of the way, let's continue. Next, we take the number 24,036,935 and divide it by 2:

24,036,935 ÷ 2 = 12,018,467.5

If the quotient is a whole number, then 2 and 12,018,467.5 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 24,036,935
-1 -24,036,935

Now, we try dividing 24,036,935 by 3:

24,036,935 ÷ 3 = 8,012,311.6667

If the quotient is a whole number, then 3 and 8,012,311.6667 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 24,036,935
-1 -24,036,935

Let's try dividing by 4:

24,036,935 ÷ 4 = 6,009,233.75

If the quotient is a whole number, then 4 and 6,009,233.75 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 24,036,935
-1 24,036,935
Keep dividing by the next highest number until you cannot divide anymore.

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

15133165791511553954037551,0271,9632,0152,4494,6815,1359,81511,92912,24523,40531,83759,64560,853155,077159,185304,265369,799775,3851,848,9954,807,38724,036,935
-1-5-13-31-65-79-151-155-395-403-755-1,027-1,963-2,015-2,449-4,681-5,135-9,815-11,929-12,245-23,405-31,837-59,645-60,853-155,077-159,185-304,265-369,799-775,385-1,848,995-4,807,387-24,036,935

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