Q: What are the factor combinations of the number 2,674,687?

 A:
Positive:   1 x 267468719 x 140773
Negative: -1 x -2674687-19 x -140773


How do I find the factor combinations of the number 2,674,687?

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 2,674,687, 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 2,674,687
-1 -2,674,687

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 2,674,687.

Example:
1 x 2,674,687 = 2,674,687
and
-1 x -2,674,687 = 2,674,687
Notice both answers equal 2,674,687

With that explanation out of the way, let's continue. Next, we take the number 2,674,687 and divide it by 2:

2,674,687 ÷ 2 = 1,337,343.5

If the quotient is a whole number, then 2 and 1,337,343.5 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 2,674,687
-1 -2,674,687

Now, we try dividing 2,674,687 by 3:

2,674,687 ÷ 3 = 891,562.3333

If the quotient is a whole number, then 3 and 891,562.3333 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 2,674,687
-1 -2,674,687

Let's try dividing by 4:

2,674,687 ÷ 4 = 668,671.75

If the quotient is a whole number, then 4 and 668,671.75 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 2,674,687
-1 2,674,687
Keep dividing by the next highest number until you cannot divide anymore.

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

119140,7732,674,687
-1-19-140,773-2,674,687

More Examples

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