Q: What are the factor combinations of the number 4,823,155?

 A:
Positive:   1 x 48231555 x 96463117 x 28371585 x 56743179 x 26945317 x 15215895 x 53891585 x 3043
Negative: -1 x -4823155-5 x -964631-17 x -283715-85 x -56743-179 x -26945-317 x -15215-895 x -5389-1585 x -3043


How do I find the factor combinations of the number 4,823,155?

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 4,823,155, 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 4,823,155
-1 -4,823,155

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 4,823,155.

Example:
1 x 4,823,155 = 4,823,155
and
-1 x -4,823,155 = 4,823,155
Notice both answers equal 4,823,155

With that explanation out of the way, let's continue. Next, we take the number 4,823,155 and divide it by 2:

4,823,155 ÷ 2 = 2,411,577.5

If the quotient is a whole number, then 2 and 2,411,577.5 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 4,823,155
-1 -4,823,155

Now, we try dividing 4,823,155 by 3:

4,823,155 ÷ 3 = 1,607,718.3333

If the quotient is a whole number, then 3 and 1,607,718.3333 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 4,823,155
-1 -4,823,155

Let's try dividing by 4:

4,823,155 ÷ 4 = 1,205,788.75

If the quotient is a whole number, then 4 and 1,205,788.75 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 4,823,155
-1 4,823,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851793178951,5853,0435,38915,21526,94556,743283,715964,6314,823,155
-1-5-17-85-179-317-895-1,585-3,043-5,389-15,215-26,945-56,743-283,715-964,631-4,823,155

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