Q: What are the factor combinations of the number 2,494,495?

 A:
Positive:   1 x 24944955 x 49889917 x 14673585 x 29347
Negative: -1 x -2494495-5 x -498899-17 x -146735-85 x -29347


How do I find the factor combinations of the number 2,494,495?

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 2,494,495, 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 2,494,495
-1 -2,494,495

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 2,494,495.

Example:
1 x 2,494,495 = 2,494,495
and
-1 x -2,494,495 = 2,494,495
Notice both answers equal 2,494,495

With that explanation out of the way, let's continue. Next, we take the number 2,494,495 and divide it by 2:

2,494,495 ÷ 2 = 1,247,247.5

If the quotient is a whole number, then 2 and 1,247,247.5 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 2,494,495
-1 -2,494,495

Now, we try dividing 2,494,495 by 3:

2,494,495 ÷ 3 = 831,498.3333

If the quotient is a whole number, then 3 and 831,498.3333 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 2,494,495
-1 -2,494,495

Let's try dividing by 4:

2,494,495 ÷ 4 = 623,623.75

If the quotient is a whole number, then 4 and 623,623.75 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 2,494,495
-1 2,494,495
Keep dividing by the next highest number until you cannot divide anymore.

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

15178529,347146,735498,8992,494,495
-1-5-17-85-29,347-146,735-498,899-2,494,495

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,494,495:


Ask a Question