Q: What are the factor combinations of the number 4,523,155?

 A:
Positive:   1 x 45231555 x 9046317 x 64616513 x 34793535 x 12923365 x 6958791 x 49705455 x 9941
Negative: -1 x -4523155-5 x -904631-7 x -646165-13 x -347935-35 x -129233-65 x -69587-91 x -49705-455 x -9941


How do I find the factor combinations of the number 4,523,155?

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 4,523,155, 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 4,523,155
-1 -4,523,155

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 4,523,155.

Example:
1 x 4,523,155 = 4,523,155
and
-1 x -4,523,155 = 4,523,155
Notice both answers equal 4,523,155

With that explanation out of the way, let's continue. Next, we take the number 4,523,155 and divide it by 2:

4,523,155 ÷ 2 = 2,261,577.5

If the quotient is a whole number, then 2 and 2,261,577.5 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 4,523,155
-1 -4,523,155

Now, we try dividing 4,523,155 by 3:

4,523,155 ÷ 3 = 1,507,718.3333

If the quotient is a whole number, then 3 and 1,507,718.3333 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 4,523,155
-1 -4,523,155

Let's try dividing by 4:

4,523,155 ÷ 4 = 1,130,788.75

If the quotient is a whole number, then 4 and 1,130,788.75 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 4,523,155
-1 4,523,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914559,94149,70569,587129,233347,935646,165904,6314,523,155
-1-5-7-13-35-65-91-455-9,941-49,705-69,587-129,233-347,935-646,165-904,631-4,523,155

More Examples

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