Q: What are the factor combinations of the number 1,042,265?

 A:
Positive:   1 x 10422655 x 2084537 x 14889535 x 2977997 x 10745307 x 3395485 x 2149679 x 1535
Negative: -1 x -1042265-5 x -208453-7 x -148895-35 x -29779-97 x -10745-307 x -3395-485 x -2149-679 x -1535


How do I find the factor combinations of the number 1,042,265?

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 1,042,265, 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 1,042,265
-1 -1,042,265

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 1,042,265.

Example:
1 x 1,042,265 = 1,042,265
and
-1 x -1,042,265 = 1,042,265
Notice both answers equal 1,042,265

With that explanation out of the way, let's continue. Next, we take the number 1,042,265 and divide it by 2:

1,042,265 ÷ 2 = 521,132.5

If the quotient is a whole number, then 2 and 521,132.5 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 1,042,265
-1 -1,042,265

Now, we try dividing 1,042,265 by 3:

1,042,265 ÷ 3 = 347,421.6667

If the quotient is a whole number, then 3 and 347,421.6667 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 1,042,265
-1 -1,042,265

Let's try dividing by 4:

1,042,265 ÷ 4 = 260,566.25

If the quotient is a whole number, then 4 and 260,566.25 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 1,042,265
-1 1,042,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15735973074856791,5352,1493,39510,74529,779148,895208,4531,042,265
-1-5-7-35-97-307-485-679-1,535-2,149-3,395-10,745-29,779-148,895-208,453-1,042,265

More Examples

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