Q: What are the factor combinations of the number 2,024,545?

 A:
Positive:   1 x 20245455 x 40490919 x 10655595 x 21311101 x 20045211 x 9595505 x 40091055 x 1919
Negative: -1 x -2024545-5 x -404909-19 x -106555-95 x -21311-101 x -20045-211 x -9595-505 x -4009-1055 x -1919


How do I find the factor combinations of the number 2,024,545?

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 2,024,545, 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 2,024,545
-1 -2,024,545

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 2,024,545.

Example:
1 x 2,024,545 = 2,024,545
and
-1 x -2,024,545 = 2,024,545
Notice both answers equal 2,024,545

With that explanation out of the way, let's continue. Next, we take the number 2,024,545 and divide it by 2:

2,024,545 ÷ 2 = 1,012,272.5

If the quotient is a whole number, then 2 and 1,012,272.5 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 2,024,545
-1 -2,024,545

Now, we try dividing 2,024,545 by 3:

2,024,545 ÷ 3 = 674,848.3333

If the quotient is a whole number, then 3 and 674,848.3333 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 2,024,545
-1 -2,024,545

Let's try dividing by 4:

2,024,545 ÷ 4 = 506,136.25

If the quotient is a whole number, then 4 and 506,136.25 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 2,024,545
-1 2,024,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951012115051,0551,9194,0099,59520,04521,311106,555404,9092,024,545
-1-5-19-95-101-211-505-1,055-1,919-4,009-9,595-20,045-21,311-106,555-404,909-2,024,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,024,545:


Ask a Question