Q: What are the factor combinations of the number 3,322,429?

 A:
Positive:   1 x 332242911 x 30203917 x 195437109 x 30481163 x 20383187 x 177671199 x 27711793 x 1853
Negative: -1 x -3322429-11 x -302039-17 x -195437-109 x -30481-163 x -20383-187 x -17767-1199 x -2771-1793 x -1853


How do I find the factor combinations of the number 3,322,429?

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 3,322,429, 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 3,322,429
-1 -3,322,429

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 3,322,429.

Example:
1 x 3,322,429 = 3,322,429
and
-1 x -3,322,429 = 3,322,429
Notice both answers equal 3,322,429

With that explanation out of the way, let's continue. Next, we take the number 3,322,429 and divide it by 2:

3,322,429 ÷ 2 = 1,661,214.5

If the quotient is a whole number, then 2 and 1,661,214.5 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 3,322,429
-1 -3,322,429

Now, we try dividing 3,322,429 by 3:

3,322,429 ÷ 3 = 1,107,476.3333

If the quotient is a whole number, then 3 and 1,107,476.3333 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 3,322,429
-1 -3,322,429

Let's try dividing by 4:

3,322,429 ÷ 4 = 830,607.25

If the quotient is a whole number, then 4 and 830,607.25 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 3,322,429
-1 3,322,429
Keep dividing by the next highest number until you cannot divide anymore.

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

111171091631871,1991,7931,8532,77117,76720,38330,481195,437302,0393,322,429
-1-11-17-109-163-187-1,199-1,793-1,853-2,771-17,767-20,383-30,481-195,437-302,039-3,322,429

More Examples

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