Q: What are the factor combinations of the number 3,107,845?

 A:
Positive:   1 x 31078455 x 62156913 x 23906565 x 47813137 x 22685349 x 8905685 x 45371745 x 1781
Negative: -1 x -3107845-5 x -621569-13 x -239065-65 x -47813-137 x -22685-349 x -8905-685 x -4537-1745 x -1781


How do I find the factor combinations of the number 3,107,845?

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 3,107,845, 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 3,107,845
-1 -3,107,845

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 3,107,845.

Example:
1 x 3,107,845 = 3,107,845
and
-1 x -3,107,845 = 3,107,845
Notice both answers equal 3,107,845

With that explanation out of the way, let's continue. Next, we take the number 3,107,845 and divide it by 2:

3,107,845 ÷ 2 = 1,553,922.5

If the quotient is a whole number, then 2 and 1,553,922.5 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 3,107,845
-1 -3,107,845

Now, we try dividing 3,107,845 by 3:

3,107,845 ÷ 3 = 1,035,948.3333

If the quotient is a whole number, then 3 and 1,035,948.3333 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 3,107,845
-1 -3,107,845

Let's try dividing by 4:

3,107,845 ÷ 4 = 776,961.25

If the quotient is a whole number, then 4 and 776,961.25 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 3,107,845
-1 3,107,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651373496851,7451,7814,5378,90522,68547,813239,065621,5693,107,845
-1-5-13-65-137-349-685-1,745-1,781-4,537-8,905-22,685-47,813-239,065-621,569-3,107,845

More Examples

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