Q: What are the factor combinations of the number 617,015?

 A:
Positive:   1 x 6170155 x 1234037 x 8814517 x 3629535 x 1762961 x 1011585 x 7259119 x 5185289 x 2135305 x 2023427 x 1445595 x 1037
Negative: -1 x -617015-5 x -123403-7 x -88145-17 x -36295-35 x -17629-61 x -10115-85 x -7259-119 x -5185-289 x -2135-305 x -2023-427 x -1445-595 x -1037


How do I find the factor combinations of the number 617,015?

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 617,015, 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.

1 617,015
-1 -617,015

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 617,015.

Example:
1 x 617,015 = 617,015
and
-1 x -617,015 = 617,015
Notice both answers equal 617,015

With that explanation out of the way, let's continue. Next, we take the number 617,015 and divide it by 2:

617,015 ÷ 2 = 308,507.5

If the quotient is a whole number, then 2 and 308,507.5 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:

1 617,015
-1 -617,015

Now, we try dividing 617,015 by 3:

617,015 ÷ 3 = 205,671.6667

If the quotient is a whole number, then 3 and 205,671.6667 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:

1 617,015
-1 -617,015

Let's try dividing by 4:

617,015 ÷ 4 = 154,253.75

If the quotient is a whole number, then 4 and 154,253.75 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:

1 617,015
-1 617,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157173561851192893054275951,0371,4452,0232,1355,1857,25910,11517,62936,29588,145123,403617,015
-1-5-7-17-35-61-85-119-289-305-427-595-1,037-1,445-2,023-2,135-5,185-7,259-10,115-17,629-36,295-88,145-123,403-617,015

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