Q: What are the factor combinations of the number 3,615,871?

 A:
Positive:   1 x 36158717 x 51655319 x 19030931 x 116641133 x 27187217 x 16663589 x 6139877 x 4123
Negative: -1 x -3615871-7 x -516553-19 x -190309-31 x -116641-133 x -27187-217 x -16663-589 x -6139-877 x -4123


How do I find the factor combinations of the number 3,615,871?

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 3,615,871, 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 3,615,871
-1 -3,615,871

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 3,615,871.

Example:
1 x 3,615,871 = 3,615,871
and
-1 x -3,615,871 = 3,615,871
Notice both answers equal 3,615,871

With that explanation out of the way, let's continue. Next, we take the number 3,615,871 and divide it by 2:

3,615,871 ÷ 2 = 1,807,935.5

If the quotient is a whole number, then 2 and 1,807,935.5 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 3,615,871
-1 -3,615,871

Now, we try dividing 3,615,871 by 3:

3,615,871 ÷ 3 = 1,205,290.3333

If the quotient is a whole number, then 3 and 1,205,290.3333 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 3,615,871
-1 -3,615,871

Let's try dividing by 4:

3,615,871 ÷ 4 = 903,967.75

If the quotient is a whole number, then 4 and 903,967.75 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 3,615,871
-1 3,615,871
Keep dividing by the next highest number until you cannot divide anymore.

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

1719311332175898774,1236,13916,66327,187116,641190,309516,5533,615,871
-1-7-19-31-133-217-589-877-4,123-6,139-16,663-27,187-116,641-190,309-516,553-3,615,871

More Examples

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