Q: What are the factor combinations of the number 1,360,775?

 A:
Positive:   1 x 13607755 x 27215513 x 10467525 x 5443153 x 2567565 x 2093579 x 17225265 x 5135325 x 4187395 x 3445689 x 19751027 x 1325
Negative: -1 x -1360775-5 x -272155-13 x -104675-25 x -54431-53 x -25675-65 x -20935-79 x -17225-265 x -5135-325 x -4187-395 x -3445-689 x -1975-1027 x -1325


How do I find the factor combinations of the number 1,360,775?

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 1,360,775, 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 1,360,775
-1 -1,360,775

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 1,360,775.

Example:
1 x 1,360,775 = 1,360,775
and
-1 x -1,360,775 = 1,360,775
Notice both answers equal 1,360,775

With that explanation out of the way, let's continue. Next, we take the number 1,360,775 and divide it by 2:

1,360,775 ÷ 2 = 680,387.5

If the quotient is a whole number, then 2 and 680,387.5 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 1,360,775
-1 -1,360,775

Now, we try dividing 1,360,775 by 3:

1,360,775 ÷ 3 = 453,591.6667

If the quotient is a whole number, then 3 and 453,591.6667 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 1,360,775
-1 -1,360,775

Let's try dividing by 4:

1,360,775 ÷ 4 = 340,193.75

If the quotient is a whole number, then 4 and 340,193.75 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 1,360,775
-1 1,360,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1513255365792653253956891,0271,3251,9753,4454,1875,13517,22520,93525,67554,431104,675272,1551,360,775
-1-5-13-25-53-65-79-265-325-395-689-1,027-1,325-1,975-3,445-4,187-5,135-17,225-20,935-25,675-54,431-104,675-272,155-1,360,775

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