Q: What are the factor combinations of the number 43,241,245?

 A:
Positive:   1 x 432412455 x 864824919 x 227585595 x 455171
Negative: -1 x -43241245-5 x -8648249-19 x -2275855-95 x -455171


How do I find the factor combinations of the number 43,241,245?

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 43,241,245, 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 43,241,245
-1 -43,241,245

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 43,241,245.

Example:
1 x 43,241,245 = 43,241,245
and
-1 x -43,241,245 = 43,241,245
Notice both answers equal 43,241,245

With that explanation out of the way, let's continue. Next, we take the number 43,241,245 and divide it by 2:

43,241,245 ÷ 2 = 21,620,622.5

If the quotient is a whole number, then 2 and 21,620,622.5 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 43,241,245
-1 -43,241,245

Now, we try dividing 43,241,245 by 3:

43,241,245 ÷ 3 = 14,413,748.3333

If the quotient is a whole number, then 3 and 14,413,748.3333 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 43,241,245
-1 -43,241,245

Let's try dividing by 4:

43,241,245 ÷ 4 = 10,810,311.25

If the quotient is a whole number, then 4 and 10,810,311.25 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 43,241,245
-1 43,241,245
Keep dividing by the next highest number until you cannot divide anymore.

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

151995455,1712,275,8558,648,24943,241,245
-1-5-19-95-455,171-2,275,855-8,648,249-43,241,245

More Examples

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