Q: What are the factor combinations of the number 3,397,735?

 A:
Positive:   1 x 33977355 x 67954711 x 30888555 x 61777163 x 20845379 x 8965815 x 41691793 x 1895
Negative: -1 x -3397735-5 x -679547-11 x -308885-55 x -61777-163 x -20845-379 x -8965-815 x -4169-1793 x -1895


How do I find the factor combinations of the number 3,397,735?

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 3,397,735, 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 3,397,735
-1 -3,397,735

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 3,397,735.

Example:
1 x 3,397,735 = 3,397,735
and
-1 x -3,397,735 = 3,397,735
Notice both answers equal 3,397,735

With that explanation out of the way, let's continue. Next, we take the number 3,397,735 and divide it by 2:

3,397,735 ÷ 2 = 1,698,867.5

If the quotient is a whole number, then 2 and 1,698,867.5 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 3,397,735
-1 -3,397,735

Now, we try dividing 3,397,735 by 3:

3,397,735 ÷ 3 = 1,132,578.3333

If the quotient is a whole number, then 3 and 1,132,578.3333 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 3,397,735
-1 -3,397,735

Let's try dividing by 4:

3,397,735 ÷ 4 = 849,433.75

If the quotient is a whole number, then 4 and 849,433.75 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 3,397,735
-1 3,397,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551633798151,7931,8954,1698,96520,84561,777308,885679,5473,397,735
-1-5-11-55-163-379-815-1,793-1,895-4,169-8,965-20,845-61,777-308,885-679,547-3,397,735

More Examples

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