Q: What are the factor combinations of the number 1,562,015?

 A:
Positive:   1 x 15620155 x 3124037 x 22314513 x 12015535 x 4462965 x 2403191 x 17165455 x 3433
Negative: -1 x -1562015-5 x -312403-7 x -223145-13 x -120155-35 x -44629-65 x -24031-91 x -17165-455 x -3433


How do I find the factor combinations of the number 1,562,015?

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 1,562,015, 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 1,562,015
-1 -1,562,015

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 1,562,015.

Example:
1 x 1,562,015 = 1,562,015
and
-1 x -1,562,015 = 1,562,015
Notice both answers equal 1,562,015

With that explanation out of the way, let's continue. Next, we take the number 1,562,015 and divide it by 2:

1,562,015 ÷ 2 = 781,007.5

If the quotient is a whole number, then 2 and 781,007.5 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 1,562,015
-1 -1,562,015

Now, we try dividing 1,562,015 by 3:

1,562,015 ÷ 3 = 520,671.6667

If the quotient is a whole number, then 3 and 520,671.6667 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 1,562,015
-1 -1,562,015

Let's try dividing by 4:

1,562,015 ÷ 4 = 390,503.75

If the quotient is a whole number, then 4 and 390,503.75 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 1,562,015
-1 1,562,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914553,43317,16524,03144,629120,155223,145312,4031,562,015
-1-5-7-13-35-65-91-455-3,433-17,165-24,031-44,629-120,155-223,145-312,403-1,562,015

More Examples

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