Q: What are the factor combinations of the number 24,213,733?

 A:
Positive:   1 x 2421373319 x 127440723 x 105277167 x 361399437 x 55409827 x 292791273 x 190211541 x 15713
Negative: -1 x -24213733-19 x -1274407-23 x -1052771-67 x -361399-437 x -55409-827 x -29279-1273 x -19021-1541 x -15713


How do I find the factor combinations of the number 24,213,733?

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 24,213,733, 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 24,213,733
-1 -24,213,733

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 24,213,733.

Example:
1 x 24,213,733 = 24,213,733
and
-1 x -24,213,733 = 24,213,733
Notice both answers equal 24,213,733

With that explanation out of the way, let's continue. Next, we take the number 24,213,733 and divide it by 2:

24,213,733 ÷ 2 = 12,106,866.5

If the quotient is a whole number, then 2 and 12,106,866.5 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 24,213,733
-1 -24,213,733

Now, we try dividing 24,213,733 by 3:

24,213,733 ÷ 3 = 8,071,244.3333

If the quotient is a whole number, then 3 and 8,071,244.3333 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 24,213,733
-1 -24,213,733

Let's try dividing by 4:

24,213,733 ÷ 4 = 6,053,433.25

If the quotient is a whole number, then 4 and 6,053,433.25 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 24,213,733
-1 24,213,733
Keep dividing by the next highest number until you cannot divide anymore.

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

11923674378271,2731,54115,71319,02129,27955,409361,3991,052,7711,274,40724,213,733
-1-19-23-67-437-827-1,273-1,541-15,713-19,021-29,279-55,409-361,399-1,052,771-1,274,407-24,213,733

More Examples

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