Q: What are the factor combinations of the number 1,349,855?

 A:
Positive:   1 x 13498555 x 26997113 x 10383519 x 7104565 x 2076795 x 14209247 x 54651093 x 1235
Negative: -1 x -1349855-5 x -269971-13 x -103835-19 x -71045-65 x -20767-95 x -14209-247 x -5465-1093 x -1235


How do I find the factor combinations of the number 1,349,855?

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 1,349,855, 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 1,349,855
-1 -1,349,855

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 1,349,855.

Example:
1 x 1,349,855 = 1,349,855
and
-1 x -1,349,855 = 1,349,855
Notice both answers equal 1,349,855

With that explanation out of the way, let's continue. Next, we take the number 1,349,855 and divide it by 2:

1,349,855 ÷ 2 = 674,927.5

If the quotient is a whole number, then 2 and 674,927.5 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 1,349,855
-1 -1,349,855

Now, we try dividing 1,349,855 by 3:

1,349,855 ÷ 3 = 449,951.6667

If the quotient is a whole number, then 3 and 449,951.6667 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 1,349,855
-1 -1,349,855

Let's try dividing by 4:

1,349,855 ÷ 4 = 337,463.75

If the quotient is a whole number, then 4 and 337,463.75 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 1,349,855
-1 1,349,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,0931,2355,46514,20920,76771,045103,835269,9711,349,855
-1-5-13-19-65-95-247-1,093-1,235-5,465-14,209-20,767-71,045-103,835-269,971-1,349,855

More Examples

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