Q: What are the factor combinations of the number 2,493,023?

 A:
Positive:   1 x 249302313 x 19177137 x 6737971 x 3511373 x 34151481 x 5183923 x 2701949 x 2627
Negative: -1 x -2493023-13 x -191771-37 x -67379-71 x -35113-73 x -34151-481 x -5183-923 x -2701-949 x -2627


How do I find the factor combinations of the number 2,493,023?

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 2,493,023, 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 2,493,023
-1 -2,493,023

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 2,493,023.

Example:
1 x 2,493,023 = 2,493,023
and
-1 x -2,493,023 = 2,493,023
Notice both answers equal 2,493,023

With that explanation out of the way, let's continue. Next, we take the number 2,493,023 and divide it by 2:

2,493,023 ÷ 2 = 1,246,511.5

If the quotient is a whole number, then 2 and 1,246,511.5 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 2,493,023
-1 -2,493,023

Now, we try dividing 2,493,023 by 3:

2,493,023 ÷ 3 = 831,007.6667

If the quotient is a whole number, then 3 and 831,007.6667 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 2,493,023
-1 -2,493,023

Let's try dividing by 4:

2,493,023 ÷ 4 = 623,255.75

If the quotient is a whole number, then 4 and 623,255.75 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 2,493,023
-1 2,493,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1133771734819239492,6272,7015,18334,15135,11367,379191,7712,493,023
-1-13-37-71-73-481-923-949-2,627-2,701-5,183-34,151-35,113-67,379-191,771-2,493,023

More Examples

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