Q: What are the factor combinations of the number 2,672,717?

 A:
Positive:   1 x 26727171499 x 1783
Negative: -1 x -2672717-1499 x -1783


How do I find the factor combinations of the number 2,672,717?

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 2,672,717, 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 2,672,717
-1 -2,672,717

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 2,672,717.

Example:
1 x 2,672,717 = 2,672,717
and
-1 x -2,672,717 = 2,672,717
Notice both answers equal 2,672,717

With that explanation out of the way, let's continue. Next, we take the number 2,672,717 and divide it by 2:

2,672,717 ÷ 2 = 1,336,358.5

If the quotient is a whole number, then 2 and 1,336,358.5 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 2,672,717
-1 -2,672,717

Now, we try dividing 2,672,717 by 3:

2,672,717 ÷ 3 = 890,905.6667

If the quotient is a whole number, then 3 and 890,905.6667 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 2,672,717
-1 -2,672,717

Let's try dividing by 4:

2,672,717 ÷ 4 = 668,179.25

If the quotient is a whole number, then 4 and 668,179.25 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 2,672,717
-1 2,672,717
Keep dividing by the next highest number until you cannot divide anymore.

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

11,4991,7832,672,717
-1-1,499-1,783-2,672,717

More Examples

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