Q: What are the factor combinations of the number 1,001,585?

 A:
Positive:   1 x 10015855 x 20031713 x 7704519 x 5271565 x 1540995 x 10543247 x 4055811 x 1235
Negative: -1 x -1001585-5 x -200317-13 x -77045-19 x -52715-65 x -15409-95 x -10543-247 x -4055-811 x -1235


How do I find the factor combinations of the number 1,001,585?

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 1,001,585, 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 1,001,585
-1 -1,001,585

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 1,001,585.

Example:
1 x 1,001,585 = 1,001,585
and
-1 x -1,001,585 = 1,001,585
Notice both answers equal 1,001,585

With that explanation out of the way, let's continue. Next, we take the number 1,001,585 and divide it by 2:

1,001,585 ÷ 2 = 500,792.5

If the quotient is a whole number, then 2 and 500,792.5 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 1,001,585
-1 -1,001,585

Now, we try dividing 1,001,585 by 3:

1,001,585 ÷ 3 = 333,861.6667

If the quotient is a whole number, then 3 and 333,861.6667 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 1,001,585
-1 -1,001,585

Let's try dividing by 4:

1,001,585 ÷ 4 = 250,396.25

If the quotient is a whole number, then 4 and 250,396.25 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 1,001,585
-1 1,001,585
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952478111,2354,05510,54315,40952,71577,045200,3171,001,585
-1-5-13-19-65-95-247-811-1,235-4,055-10,543-15,409-52,715-77,045-200,317-1,001,585

More Examples

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