Q: What are the factor combinations of the number 2,427,155?

 A:
Positive:   1 x 24271555 x 48543119 x 12774529 x 8369595 x 25549145 x 16739551 x 4405881 x 2755
Negative: -1 x -2427155-5 x -485431-19 x -127745-29 x -83695-95 x -25549-145 x -16739-551 x -4405-881 x -2755


How do I find the factor combinations of the number 2,427,155?

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 2,427,155, 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 2,427,155
-1 -2,427,155

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 2,427,155.

Example:
1 x 2,427,155 = 2,427,155
and
-1 x -2,427,155 = 2,427,155
Notice both answers equal 2,427,155

With that explanation out of the way, let's continue. Next, we take the number 2,427,155 and divide it by 2:

2,427,155 ÷ 2 = 1,213,577.5

If the quotient is a whole number, then 2 and 1,213,577.5 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 2,427,155
-1 -2,427,155

Now, we try dividing 2,427,155 by 3:

2,427,155 ÷ 3 = 809,051.6667

If the quotient is a whole number, then 3 and 809,051.6667 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 2,427,155
-1 -2,427,155

Let's try dividing by 4:

2,427,155 ÷ 4 = 606,788.75

If the quotient is a whole number, then 4 and 606,788.75 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 2,427,155
-1 2,427,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151929951455518812,7554,40516,73925,54983,695127,745485,4312,427,155
-1-5-19-29-95-145-551-881-2,755-4,405-16,739-25,549-83,695-127,745-485,431-2,427,155

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,427,155:


Ask a Question