Q: What are the factor combinations of the number 3,988,315?

 A:
Positive:   1 x 39883155 x 79766323 x 17340579 x 50485115 x 34681395 x 10097439 x 90851817 x 2195
Negative: -1 x -3988315-5 x -797663-23 x -173405-79 x -50485-115 x -34681-395 x -10097-439 x -9085-1817 x -2195


How do I find the factor combinations of the number 3,988,315?

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 3,988,315, 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 3,988,315
-1 -3,988,315

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 3,988,315.

Example:
1 x 3,988,315 = 3,988,315
and
-1 x -3,988,315 = 3,988,315
Notice both answers equal 3,988,315

With that explanation out of the way, let's continue. Next, we take the number 3,988,315 and divide it by 2:

3,988,315 ÷ 2 = 1,994,157.5

If the quotient is a whole number, then 2 and 1,994,157.5 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 3,988,315
-1 -3,988,315

Now, we try dividing 3,988,315 by 3:

3,988,315 ÷ 3 = 1,329,438.3333

If the quotient is a whole number, then 3 and 1,329,438.3333 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 3,988,315
-1 -3,988,315

Let's try dividing by 4:

3,988,315 ÷ 4 = 997,078.75

If the quotient is a whole number, then 4 and 997,078.75 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 3,988,315
-1 3,988,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1523791153954391,8172,1959,08510,09734,68150,485173,405797,6633,988,315
-1-5-23-79-115-395-439-1,817-2,195-9,085-10,097-34,681-50,485-173,405-797,663-3,988,315

More Examples

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