Q: What are the factor combinations of the number 1,375,885?

 A:
Positive:   1 x 13758855 x 2751777 x 19655519 x 7241535 x 3931195 x 14483133 x 10345665 x 2069
Negative: -1 x -1375885-5 x -275177-7 x -196555-19 x -72415-35 x -39311-95 x -14483-133 x -10345-665 x -2069


How do I find the factor combinations of the number 1,375,885?

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 1,375,885, 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 1,375,885
-1 -1,375,885

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 1,375,885.

Example:
1 x 1,375,885 = 1,375,885
and
-1 x -1,375,885 = 1,375,885
Notice both answers equal 1,375,885

With that explanation out of the way, let's continue. Next, we take the number 1,375,885 and divide it by 2:

1,375,885 ÷ 2 = 687,942.5

If the quotient is a whole number, then 2 and 687,942.5 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 1,375,885
-1 -1,375,885

Now, we try dividing 1,375,885 by 3:

1,375,885 ÷ 3 = 458,628.3333

If the quotient is a whole number, then 3 and 458,628.3333 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 1,375,885
-1 -1,375,885

Let's try dividing by 4:

1,375,885 ÷ 4 = 343,971.25

If the quotient is a whole number, then 4 and 343,971.25 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 1,375,885
-1 1,375,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951336652,06910,34514,48339,31172,415196,555275,1771,375,885
-1-5-7-19-35-95-133-665-2,069-10,345-14,483-39,311-72,415-196,555-275,177-1,375,885

More Examples

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