Q: What are the factor combinations of the number 24,282,817?

 A:
Positive:   1 x 2428281713 x 186790917 x 142840119 x 1278043221 x 109877247 x 98311323 x 751794199 x 5783
Negative: -1 x -24282817-13 x -1867909-17 x -1428401-19 x -1278043-221 x -109877-247 x -98311-323 x -75179-4199 x -5783


How do I find the factor combinations of the number 24,282,817?

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 24,282,817, 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 24,282,817
-1 -24,282,817

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 24,282,817.

Example:
1 x 24,282,817 = 24,282,817
and
-1 x -24,282,817 = 24,282,817
Notice both answers equal 24,282,817

With that explanation out of the way, let's continue. Next, we take the number 24,282,817 and divide it by 2:

24,282,817 ÷ 2 = 12,141,408.5

If the quotient is a whole number, then 2 and 12,141,408.5 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 24,282,817
-1 -24,282,817

Now, we try dividing 24,282,817 by 3:

24,282,817 ÷ 3 = 8,094,272.3333

If the quotient is a whole number, then 3 and 8,094,272.3333 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 24,282,817
-1 -24,282,817

Let's try dividing by 4:

24,282,817 ÷ 4 = 6,070,704.25

If the quotient is a whole number, then 4 and 6,070,704.25 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 24,282,817
-1 24,282,817
Keep dividing by the next highest number until you cannot divide anymore.

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

11317192212473234,1995,78375,17998,311109,8771,278,0431,428,4011,867,90924,282,817
-1-13-17-19-221-247-323-4,199-5,783-75,179-98,311-109,877-1,278,043-1,428,401-1,867,909-24,282,817

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