Q: What are the factor combinations of the number 1,015,385?

 A:
Positive:   1 x 10153855 x 2030777 x 14505535 x 2901167 x 15155335 x 3031433 x 2345469 x 2165
Negative: -1 x -1015385-5 x -203077-7 x -145055-35 x -29011-67 x -15155-335 x -3031-433 x -2345-469 x -2165


How do I find the factor combinations of the number 1,015,385?

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 1,015,385, 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 1,015,385
-1 -1,015,385

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 1,015,385.

Example:
1 x 1,015,385 = 1,015,385
and
-1 x -1,015,385 = 1,015,385
Notice both answers equal 1,015,385

With that explanation out of the way, let's continue. Next, we take the number 1,015,385 and divide it by 2:

1,015,385 ÷ 2 = 507,692.5

If the quotient is a whole number, then 2 and 507,692.5 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 1,015,385
-1 -1,015,385

Now, we try dividing 1,015,385 by 3:

1,015,385 ÷ 3 = 338,461.6667

If the quotient is a whole number, then 3 and 338,461.6667 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 1,015,385
-1 -1,015,385

Let's try dividing by 4:

1,015,385 ÷ 4 = 253,846.25

If the quotient is a whole number, then 4 and 253,846.25 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 1,015,385
-1 1,015,385
Keep dividing by the next highest number until you cannot divide anymore.

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

15735673354334692,1652,3453,03115,15529,011145,055203,0771,015,385
-1-5-7-35-67-335-433-469-2,165-2,345-3,031-15,155-29,011-145,055-203,077-1,015,385

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,015,385:


Ask a Question