Q: What are the factor combinations of the number 1,359,955?

 A:
Positive:   1 x 13599555 x 27199129 x 4689583 x 16385113 x 12035145 x 9379415 x 3277565 x 2407
Negative: -1 x -1359955-5 x -271991-29 x -46895-83 x -16385-113 x -12035-145 x -9379-415 x -3277-565 x -2407


How do I find the factor combinations of the number 1,359,955?

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 1,359,955, 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 1,359,955
-1 -1,359,955

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 1,359,955.

Example:
1 x 1,359,955 = 1,359,955
and
-1 x -1,359,955 = 1,359,955
Notice both answers equal 1,359,955

With that explanation out of the way, let's continue. Next, we take the number 1,359,955 and divide it by 2:

1,359,955 ÷ 2 = 679,977.5

If the quotient is a whole number, then 2 and 679,977.5 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 1,359,955
-1 -1,359,955

Now, we try dividing 1,359,955 by 3:

1,359,955 ÷ 3 = 453,318.3333

If the quotient is a whole number, then 3 and 453,318.3333 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 1,359,955
-1 -1,359,955

Let's try dividing by 4:

1,359,955 ÷ 4 = 339,988.75

If the quotient is a whole number, then 4 and 339,988.75 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 1,359,955
-1 1,359,955
Keep dividing by the next highest number until you cannot divide anymore.

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

1529831131454155652,4073,2779,37912,03516,38546,895271,9911,359,955
-1-5-29-83-113-145-415-565-2,407-3,277-9,379-12,035-16,385-46,895-271,991-1,359,955

More Examples

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