Q: What are the factor combinations of the number 4,542,835?

 A:
Positive:   1 x 45428355 x 90856711 x 41298555 x 82597151 x 30085547 x 8305755 x 60171661 x 2735
Negative: -1 x -4542835-5 x -908567-11 x -412985-55 x -82597-151 x -30085-547 x -8305-755 x -6017-1661 x -2735


How do I find the factor combinations of the number 4,542,835?

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 4,542,835, 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 4,542,835
-1 -4,542,835

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 4,542,835.

Example:
1 x 4,542,835 = 4,542,835
and
-1 x -4,542,835 = 4,542,835
Notice both answers equal 4,542,835

With that explanation out of the way, let's continue. Next, we take the number 4,542,835 and divide it by 2:

4,542,835 ÷ 2 = 2,271,417.5

If the quotient is a whole number, then 2 and 2,271,417.5 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 4,542,835
-1 -4,542,835

Now, we try dividing 4,542,835 by 3:

4,542,835 ÷ 3 = 1,514,278.3333

If the quotient is a whole number, then 3 and 1,514,278.3333 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 4,542,835
-1 -4,542,835

Let's try dividing by 4:

4,542,835 ÷ 4 = 1,135,708.75

If the quotient is a whole number, then 4 and 1,135,708.75 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 4,542,835
-1 4,542,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551515477551,6612,7356,0178,30530,08582,597412,985908,5674,542,835
-1-5-11-55-151-547-755-1,661-2,735-6,017-8,305-30,085-82,597-412,985-908,567-4,542,835

More Examples

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