Q: What are the factor combinations of the number 1,000,285?

 A:
Positive:   1 x 10002855 x 20005711 x 9093513 x 7694555 x 1818765 x 15389143 x 6995715 x 1399
Negative: -1 x -1000285-5 x -200057-11 x -90935-13 x -76945-55 x -18187-65 x -15389-143 x -6995-715 x -1399


How do I find the factor combinations of the number 1,000,285?

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 1,000,285, 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 1,000,285
-1 -1,000,285

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 1,000,285.

Example:
1 x 1,000,285 = 1,000,285
and
-1 x -1,000,285 = 1,000,285
Notice both answers equal 1,000,285

With that explanation out of the way, let's continue. Next, we take the number 1,000,285 and divide it by 2:

1,000,285 ÷ 2 = 500,142.5

If the quotient is a whole number, then 2 and 500,142.5 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 1,000,285
-1 -1,000,285

Now, we try dividing 1,000,285 by 3:

1,000,285 ÷ 3 = 333,428.3333

If the quotient is a whole number, then 3 and 333,428.3333 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 1,000,285
-1 -1,000,285

Let's try dividing by 4:

1,000,285 ÷ 4 = 250,071.25

If the quotient is a whole number, then 4 and 250,071.25 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 1,000,285
-1 1,000,285
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437151,3996,99515,38918,18776,94590,935200,0571,000,285
-1-5-11-13-55-65-143-715-1,399-6,995-15,389-18,187-76,945-90,935-200,057-1,000,285

More Examples

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