Q: What are the factor combinations of the number 7,482,485?

 A:
Positive:   1 x 74824855 x 149649719 x 39381579 x 9471595 x 78763395 x 18943997 x 75051501 x 4985
Negative: -1 x -7482485-5 x -1496497-19 x -393815-79 x -94715-95 x -78763-395 x -18943-997 x -7505-1501 x -4985


How do I find the factor combinations of the number 7,482,485?

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 7,482,485, 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 7,482,485
-1 -7,482,485

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 7,482,485.

Example:
1 x 7,482,485 = 7,482,485
and
-1 x -7,482,485 = 7,482,485
Notice both answers equal 7,482,485

With that explanation out of the way, let's continue. Next, we take the number 7,482,485 and divide it by 2:

7,482,485 ÷ 2 = 3,741,242.5

If the quotient is a whole number, then 2 and 3,741,242.5 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 7,482,485
-1 -7,482,485

Now, we try dividing 7,482,485 by 3:

7,482,485 ÷ 3 = 2,494,161.6667

If the quotient is a whole number, then 3 and 2,494,161.6667 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 7,482,485
-1 -7,482,485

Let's try dividing by 4:

7,482,485 ÷ 4 = 1,870,621.25

If the quotient is a whole number, then 4 and 1,870,621.25 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 7,482,485
-1 7,482,485
Keep dividing by the next highest number until you cannot divide anymore.

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

151979953959971,5014,9857,50518,94378,76394,715393,8151,496,4977,482,485
-1-5-19-79-95-395-997-1,501-4,985-7,505-18,943-78,763-94,715-393,815-1,496,497-7,482,485

More Examples

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