Q: What are the factor combinations of the number 1,365,265?

 A:
Positive:   1 x 13652655 x 27305311 x 12411555 x 24823103 x 13255241 x 5665515 x 26511133 x 1205
Negative: -1 x -1365265-5 x -273053-11 x -124115-55 x -24823-103 x -13255-241 x -5665-515 x -2651-1133 x -1205


How do I find the factor combinations of the number 1,365,265?

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 1,365,265, 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 1,365,265
-1 -1,365,265

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 1,365,265.

Example:
1 x 1,365,265 = 1,365,265
and
-1 x -1,365,265 = 1,365,265
Notice both answers equal 1,365,265

With that explanation out of the way, let's continue. Next, we take the number 1,365,265 and divide it by 2:

1,365,265 ÷ 2 = 682,632.5

If the quotient is a whole number, then 2 and 682,632.5 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 1,365,265
-1 -1,365,265

Now, we try dividing 1,365,265 by 3:

1,365,265 ÷ 3 = 455,088.3333

If the quotient is a whole number, then 3 and 455,088.3333 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 1,365,265
-1 -1,365,265

Let's try dividing by 4:

1,365,265 ÷ 4 = 341,316.25

If the quotient is a whole number, then 4 and 341,316.25 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 1,365,265
-1 1,365,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551032415151,1331,2052,6515,66513,25524,823124,115273,0531,365,265
-1-5-11-55-103-241-515-1,133-1,205-2,651-5,665-13,255-24,823-124,115-273,053-1,365,265

More Examples

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