Q: What are the factor combinations of the number 7,460,027?

 A:
Positive:   1 x 746002719 x 39263323 x 32434943 x 173489397 x 18791437 x 17071817 x 9131989 x 7543
Negative: -1 x -7460027-19 x -392633-23 x -324349-43 x -173489-397 x -18791-437 x -17071-817 x -9131-989 x -7543


How do I find the factor combinations of the number 7,460,027?

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 7,460,027, 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 7,460,027
-1 -7,460,027

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 7,460,027.

Example:
1 x 7,460,027 = 7,460,027
and
-1 x -7,460,027 = 7,460,027
Notice both answers equal 7,460,027

With that explanation out of the way, let's continue. Next, we take the number 7,460,027 and divide it by 2:

7,460,027 ÷ 2 = 3,730,013.5

If the quotient is a whole number, then 2 and 3,730,013.5 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 7,460,027
-1 -7,460,027

Now, we try dividing 7,460,027 by 3:

7,460,027 ÷ 3 = 2,486,675.6667

If the quotient is a whole number, then 3 and 2,486,675.6667 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 7,460,027
-1 -7,460,027

Let's try dividing by 4:

7,460,027 ÷ 4 = 1,865,006.75

If the quotient is a whole number, then 4 and 1,865,006.75 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 7,460,027
-1 7,460,027
Keep dividing by the next highest number until you cannot divide anymore.

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

11923433974378179897,5439,13117,07118,791173,489324,349392,6337,460,027
-1-19-23-43-397-437-817-989-7,543-9,131-17,071-18,791-173,489-324,349-392,633-7,460,027

More Examples

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