Q: What are the factor combinations of the number 1,364,155?

 A:
Positive:   1 x 13641555 x 27283113 x 10493531 x 4400565 x 20987155 x 8801403 x 3385677 x 2015
Negative: -1 x -1364155-5 x -272831-13 x -104935-31 x -44005-65 x -20987-155 x -8801-403 x -3385-677 x -2015


How do I find the factor combinations of the number 1,364,155?

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 1,364,155, 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 1,364,155
-1 -1,364,155

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 1,364,155.

Example:
1 x 1,364,155 = 1,364,155
and
-1 x -1,364,155 = 1,364,155
Notice both answers equal 1,364,155

With that explanation out of the way, let's continue. Next, we take the number 1,364,155 and divide it by 2:

1,364,155 ÷ 2 = 682,077.5

If the quotient is a whole number, then 2 and 682,077.5 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 1,364,155
-1 -1,364,155

Now, we try dividing 1,364,155 by 3:

1,364,155 ÷ 3 = 454,718.3333

If the quotient is a whole number, then 3 and 454,718.3333 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 1,364,155
-1 -1,364,155

Let's try dividing by 4:

1,364,155 ÷ 4 = 341,038.75

If the quotient is a whole number, then 4 and 341,038.75 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 1,364,155
-1 1,364,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554036772,0153,3858,80120,98744,005104,935272,8311,364,155
-1-5-13-31-65-155-403-677-2,015-3,385-8,801-20,987-44,005-104,935-272,831-1,364,155

More Examples

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