Q: What are the factor combinations of the number 1,507,055?

 A:
Positive:   1 x 15070555 x 30141111 x 13700547 x 3206553 x 2843555 x 27401121 x 12455235 x 6413265 x 5687517 x 2915583 x 2585605 x 2491
Negative: -1 x -1507055-5 x -301411-11 x -137005-47 x -32065-53 x -28435-55 x -27401-121 x -12455-235 x -6413-265 x -5687-517 x -2915-583 x -2585-605 x -2491


How do I find the factor combinations of the number 1,507,055?

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 1,507,055, 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 1,507,055
-1 -1,507,055

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 1,507,055.

Example:
1 x 1,507,055 = 1,507,055
and
-1 x -1,507,055 = 1,507,055
Notice both answers equal 1,507,055

With that explanation out of the way, let's continue. Next, we take the number 1,507,055 and divide it by 2:

1,507,055 ÷ 2 = 753,527.5

If the quotient is a whole number, then 2 and 753,527.5 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 1,507,055
-1 -1,507,055

Now, we try dividing 1,507,055 by 3:

1,507,055 ÷ 3 = 502,351.6667

If the quotient is a whole number, then 3 and 502,351.6667 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 1,507,055
-1 -1,507,055

Let's try dividing by 4:

1,507,055 ÷ 4 = 376,763.75

If the quotient is a whole number, then 4 and 376,763.75 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 1,507,055
-1 1,507,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15114753551212352655175836052,4912,5852,9155,6876,41312,45527,40128,43532,065137,005301,4111,507,055
-1-5-11-47-53-55-121-235-265-517-583-605-2,491-2,585-2,915-5,687-6,413-12,455-27,401-28,435-32,065-137,005-301,411-1,507,055

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