Q: What are the factor combinations of the number 3,462,949?

 A:
Positive:   1 x 34629497 x 49470723 x 150563137 x 25277157 x 22057161 x 21509959 x 36111099 x 3151
Negative: -1 x -3462949-7 x -494707-23 x -150563-137 x -25277-157 x -22057-161 x -21509-959 x -3611-1099 x -3151


How do I find the factor combinations of the number 3,462,949?

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 3,462,949, 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 3,462,949
-1 -3,462,949

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 3,462,949.

Example:
1 x 3,462,949 = 3,462,949
and
-1 x -3,462,949 = 3,462,949
Notice both answers equal 3,462,949

With that explanation out of the way, let's continue. Next, we take the number 3,462,949 and divide it by 2:

3,462,949 ÷ 2 = 1,731,474.5

If the quotient is a whole number, then 2 and 1,731,474.5 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 3,462,949
-1 -3,462,949

Now, we try dividing 3,462,949 by 3:

3,462,949 ÷ 3 = 1,154,316.3333

If the quotient is a whole number, then 3 and 1,154,316.3333 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 3,462,949
-1 -3,462,949

Let's try dividing by 4:

3,462,949 ÷ 4 = 865,737.25

If the quotient is a whole number, then 4 and 865,737.25 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 3,462,949
-1 3,462,949
Keep dividing by the next highest number until you cannot divide anymore.

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

17231371571619591,0993,1513,61121,50922,05725,277150,563494,7073,462,949
-1-7-23-137-157-161-959-1,099-3,151-3,611-21,509-22,057-25,277-150,563-494,707-3,462,949

More Examples

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