Q: What are the factor combinations of the number 1,533,155?

 A:
Positive:   1 x 15331555 x 30663113 x 11793565 x 23587103 x 14885229 x 6695515 x 29771145 x 1339
Negative: -1 x -1533155-5 x -306631-13 x -117935-65 x -23587-103 x -14885-229 x -6695-515 x -2977-1145 x -1339


How do I find the factor combinations of the number 1,533,155?

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 1,533,155, 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 1,533,155
-1 -1,533,155

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 1,533,155.

Example:
1 x 1,533,155 = 1,533,155
and
-1 x -1,533,155 = 1,533,155
Notice both answers equal 1,533,155

With that explanation out of the way, let's continue. Next, we take the number 1,533,155 and divide it by 2:

1,533,155 ÷ 2 = 766,577.5

If the quotient is a whole number, then 2 and 766,577.5 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 1,533,155
-1 -1,533,155

Now, we try dividing 1,533,155 by 3:

1,533,155 ÷ 3 = 511,051.6667

If the quotient is a whole number, then 3 and 511,051.6667 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 1,533,155
-1 -1,533,155

Let's try dividing by 4:

1,533,155 ÷ 4 = 383,288.75

If the quotient is a whole number, then 4 and 383,288.75 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 1,533,155
-1 1,533,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651032295151,1451,3392,9776,69514,88523,587117,935306,6311,533,155
-1-5-13-65-103-229-515-1,145-1,339-2,977-6,695-14,885-23,587-117,935-306,631-1,533,155

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