Q: What are the factor combinations of the number 3,431,545?

 A:
Positive:   1 x 34315455 x 68630913 x 26396531 x 11069565 x 52793131 x 26195155 x 22139169 x 20305403 x 8515655 x 5239845 x 40611703 x 2015
Negative: -1 x -3431545-5 x -686309-13 x -263965-31 x -110695-65 x -52793-131 x -26195-155 x -22139-169 x -20305-403 x -8515-655 x -5239-845 x -4061-1703 x -2015


How do I find the factor combinations of the number 3,431,545?

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 3,431,545, 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 3,431,545
-1 -3,431,545

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 3,431,545.

Example:
1 x 3,431,545 = 3,431,545
and
-1 x -3,431,545 = 3,431,545
Notice both answers equal 3,431,545

With that explanation out of the way, let's continue. Next, we take the number 3,431,545 and divide it by 2:

3,431,545 ÷ 2 = 1,715,772.5

If the quotient is a whole number, then 2 and 1,715,772.5 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 3,431,545
-1 -3,431,545

Now, we try dividing 3,431,545 by 3:

3,431,545 ÷ 3 = 1,143,848.3333

If the quotient is a whole number, then 3 and 1,143,848.3333 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 3,431,545
-1 -3,431,545

Let's try dividing by 4:

3,431,545 ÷ 4 = 857,886.25

If the quotient is a whole number, then 4 and 857,886.25 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 3,431,545
-1 3,431,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651311551694036558451,7032,0154,0615,2398,51520,30522,13926,19552,793110,695263,965686,3093,431,545
-1-5-13-31-65-131-155-169-403-655-845-1,703-2,015-4,061-5,239-8,515-20,305-22,139-26,195-52,793-110,695-263,965-686,309-3,431,545

More Examples

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