Q: What are the factor combinations of the number 3,359,015?

 A:
Positive:   1 x 33590155 x 67180311 x 30536555 x 61073157 x 21395389 x 8635785 x 42791727 x 1945
Negative: -1 x -3359015-5 x -671803-11 x -305365-55 x -61073-157 x -21395-389 x -8635-785 x -4279-1727 x -1945


How do I find the factor combinations of the number 3,359,015?

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 3,359,015, 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 3,359,015
-1 -3,359,015

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 3,359,015.

Example:
1 x 3,359,015 = 3,359,015
and
-1 x -3,359,015 = 3,359,015
Notice both answers equal 3,359,015

With that explanation out of the way, let's continue. Next, we take the number 3,359,015 and divide it by 2:

3,359,015 ÷ 2 = 1,679,507.5

If the quotient is a whole number, then 2 and 1,679,507.5 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 3,359,015
-1 -3,359,015

Now, we try dividing 3,359,015 by 3:

3,359,015 ÷ 3 = 1,119,671.6667

If the quotient is a whole number, then 3 and 1,119,671.6667 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 3,359,015
-1 -3,359,015

Let's try dividing by 4:

3,359,015 ÷ 4 = 839,753.75

If the quotient is a whole number, then 4 and 839,753.75 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 3,359,015
-1 3,359,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551573897851,7271,9454,2798,63521,39561,073305,365671,8033,359,015
-1-5-11-55-157-389-785-1,727-1,945-4,279-8,635-21,395-61,073-305,365-671,803-3,359,015

More Examples

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