Q: What are the factor combinations of the number 5,303,155?

 A:
Positive:   1 x 53031555 x 106063111 x 48210513 x 40793555 x 9642165 x 81587143 x 37085715 x 7417
Negative: -1 x -5303155-5 x -1060631-11 x -482105-13 x -407935-55 x -96421-65 x -81587-143 x -37085-715 x -7417


How do I find the factor combinations of the number 5,303,155?

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 5,303,155, 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 5,303,155
-1 -5,303,155

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 5,303,155.

Example:
1 x 5,303,155 = 5,303,155
and
-1 x -5,303,155 = 5,303,155
Notice both answers equal 5,303,155

With that explanation out of the way, let's continue. Next, we take the number 5,303,155 and divide it by 2:

5,303,155 ÷ 2 = 2,651,577.5

If the quotient is a whole number, then 2 and 2,651,577.5 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 5,303,155
-1 -5,303,155

Now, we try dividing 5,303,155 by 3:

5,303,155 ÷ 3 = 1,767,718.3333

If the quotient is a whole number, then 3 and 1,767,718.3333 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 5,303,155
-1 -5,303,155

Let's try dividing by 4:

5,303,155 ÷ 4 = 1,325,788.75

If the quotient is a whole number, then 4 and 1,325,788.75 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 5,303,155
-1 5,303,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651437157,41737,08581,58796,421407,935482,1051,060,6315,303,155
-1-5-11-13-55-65-143-715-7,417-37,085-81,587-96,421-407,935-482,105-1,060,631-5,303,155

More Examples

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