Q: What are the factor combinations of the number 7,240,055?

 A:
Positive:   1 x 72400555 x 144801123 x 314785115 x 62957157 x 46115401 x 18055785 x 92232005 x 3611
Negative: -1 x -7240055-5 x -1448011-23 x -314785-115 x -62957-157 x -46115-401 x -18055-785 x -9223-2005 x -3611


How do I find the factor combinations of the number 7,240,055?

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 7,240,055, 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 7,240,055
-1 -7,240,055

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 7,240,055.

Example:
1 x 7,240,055 = 7,240,055
and
-1 x -7,240,055 = 7,240,055
Notice both answers equal 7,240,055

With that explanation out of the way, let's continue. Next, we take the number 7,240,055 and divide it by 2:

7,240,055 ÷ 2 = 3,620,027.5

If the quotient is a whole number, then 2 and 3,620,027.5 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 7,240,055
-1 -7,240,055

Now, we try dividing 7,240,055 by 3:

7,240,055 ÷ 3 = 2,413,351.6667

If the quotient is a whole number, then 3 and 2,413,351.6667 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 7,240,055
-1 -7,240,055

Let's try dividing by 4:

7,240,055 ÷ 4 = 1,810,013.75

If the quotient is a whole number, then 4 and 1,810,013.75 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 7,240,055
-1 7,240,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151574017852,0053,6119,22318,05546,11562,957314,7851,448,0117,240,055
-1-5-23-115-157-401-785-2,005-3,611-9,223-18,055-46,115-62,957-314,785-1,448,011-7,240,055

More Examples

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