Q: What are the factor combinations of the number 3,482,315?

 A:
Positive:   1 x 34823155 x 69646323 x 151405107 x 32545115 x 30281283 x 12305535 x 65091415 x 2461
Negative: -1 x -3482315-5 x -696463-23 x -151405-107 x -32545-115 x -30281-283 x -12305-535 x -6509-1415 x -2461


How do I find the factor combinations of the number 3,482,315?

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 3,482,315, 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 3,482,315
-1 -3,482,315

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 3,482,315.

Example:
1 x 3,482,315 = 3,482,315
and
-1 x -3,482,315 = 3,482,315
Notice both answers equal 3,482,315

With that explanation out of the way, let's continue. Next, we take the number 3,482,315 and divide it by 2:

3,482,315 ÷ 2 = 1,741,157.5

If the quotient is a whole number, then 2 and 1,741,157.5 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 3,482,315
-1 -3,482,315

Now, we try dividing 3,482,315 by 3:

3,482,315 ÷ 3 = 1,160,771.6667

If the quotient is a whole number, then 3 and 1,160,771.6667 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 3,482,315
-1 -3,482,315

Let's try dividing by 4:

3,482,315 ÷ 4 = 870,578.75

If the quotient is a whole number, then 4 and 870,578.75 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 3,482,315
-1 3,482,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15231071152835351,4152,4616,50912,30530,28132,545151,405696,4633,482,315
-1-5-23-107-115-283-535-1,415-2,461-6,509-12,305-30,281-32,545-151,405-696,463-3,482,315

More Examples

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