Q: What are the factor combinations of the number 1,487,629?

 A:
Positive:   1 x 148762911 x 13523913 x 114433101 x 14729103 x 14443143 x 104031111 x 13391133 x 1313
Negative: -1 x -1487629-11 x -135239-13 x -114433-101 x -14729-103 x -14443-143 x -10403-1111 x -1339-1133 x -1313


How do I find the factor combinations of the number 1,487,629?

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 1,487,629, 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 1,487,629
-1 -1,487,629

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 1,487,629.

Example:
1 x 1,487,629 = 1,487,629
and
-1 x -1,487,629 = 1,487,629
Notice both answers equal 1,487,629

With that explanation out of the way, let's continue. Next, we take the number 1,487,629 and divide it by 2:

1,487,629 ÷ 2 = 743,814.5

If the quotient is a whole number, then 2 and 743,814.5 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 1,487,629
-1 -1,487,629

Now, we try dividing 1,487,629 by 3:

1,487,629 ÷ 3 = 495,876.3333

If the quotient is a whole number, then 3 and 495,876.3333 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 1,487,629
-1 -1,487,629

Let's try dividing by 4:

1,487,629 ÷ 4 = 371,907.25

If the quotient is a whole number, then 4 and 371,907.25 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 1,487,629
-1 1,487,629
Keep dividing by the next highest number until you cannot divide anymore.

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

111131011031431,1111,1331,3131,33910,40314,44314,729114,433135,2391,487,629
-1-11-13-101-103-143-1,111-1,133-1,313-1,339-10,403-14,443-14,729-114,433-135,239-1,487,629

More Examples

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