Q: What are the factor combinations of the number 2,500,043?

 A:
Positive:   1 x 25000437 x 35714913 x 19231183 x 3012191 x 27473331 x 7553581 x 43031079 x 2317
Negative: -1 x -2500043-7 x -357149-13 x -192311-83 x -30121-91 x -27473-331 x -7553-581 x -4303-1079 x -2317


How do I find the factor combinations of the number 2,500,043?

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 2,500,043, 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 2,500,043
-1 -2,500,043

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 2,500,043.

Example:
1 x 2,500,043 = 2,500,043
and
-1 x -2,500,043 = 2,500,043
Notice both answers equal 2,500,043

With that explanation out of the way, let's continue. Next, we take the number 2,500,043 and divide it by 2:

2,500,043 ÷ 2 = 1,250,021.5

If the quotient is a whole number, then 2 and 1,250,021.5 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 2,500,043
-1 -2,500,043

Now, we try dividing 2,500,043 by 3:

2,500,043 ÷ 3 = 833,347.6667

If the quotient is a whole number, then 3 and 833,347.6667 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 2,500,043
-1 -2,500,043

Let's try dividing by 4:

2,500,043 ÷ 4 = 625,010.75

If the quotient is a whole number, then 4 and 625,010.75 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 2,500,043
-1 2,500,043
Keep dividing by the next highest number until you cannot divide anymore.

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

171383913315811,0792,3174,3037,55327,47330,121192,311357,1492,500,043
-1-7-13-83-91-331-581-1,079-2,317-4,303-7,553-27,473-30,121-192,311-357,149-2,500,043

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,500,043:


Ask a Question