Q: What are the factor combinations of the number 24,402,301?

 A:
Positive:   1 x 244023017 x 348604311 x 221839131 x 78717177 x 316913217 x 112453341 x 715612387 x 10223
Negative: -1 x -24402301-7 x -3486043-11 x -2218391-31 x -787171-77 x -316913-217 x -112453-341 x -71561-2387 x -10223


How do I find the factor combinations of the number 24,402,301?

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 24,402,301, 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 24,402,301
-1 -24,402,301

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 24,402,301.

Example:
1 x 24,402,301 = 24,402,301
and
-1 x -24,402,301 = 24,402,301
Notice both answers equal 24,402,301

With that explanation out of the way, let's continue. Next, we take the number 24,402,301 and divide it by 2:

24,402,301 ÷ 2 = 12,201,150.5

If the quotient is a whole number, then 2 and 12,201,150.5 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 24,402,301
-1 -24,402,301

Now, we try dividing 24,402,301 by 3:

24,402,301 ÷ 3 = 8,134,100.3333

If the quotient is a whole number, then 3 and 8,134,100.3333 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 24,402,301
-1 -24,402,301

Let's try dividing by 4:

24,402,301 ÷ 4 = 6,100,575.25

If the quotient is a whole number, then 4 and 6,100,575.25 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 24,402,301
-1 24,402,301
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,38710,22371,561112,453316,913787,1712,218,3913,486,04324,402,301
-1-7-11-31-77-217-341-2,387-10,223-71,561-112,453-316,913-787,171-2,218,391-3,486,043-24,402,301

More Examples

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