Q: What are the factor combinations of the number 4,243,099?

 A:
Positive:   1 x 42430997 x 60615719 x 22332161 x 69559133 x 31903427 x 9937523 x 81131159 x 3661
Negative: -1 x -4243099-7 x -606157-19 x -223321-61 x -69559-133 x -31903-427 x -9937-523 x -8113-1159 x -3661


How do I find the factor combinations of the number 4,243,099?

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 4,243,099, 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 4,243,099
-1 -4,243,099

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 4,243,099.

Example:
1 x 4,243,099 = 4,243,099
and
-1 x -4,243,099 = 4,243,099
Notice both answers equal 4,243,099

With that explanation out of the way, let's continue. Next, we take the number 4,243,099 and divide it by 2:

4,243,099 ÷ 2 = 2,121,549.5

If the quotient is a whole number, then 2 and 2,121,549.5 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 4,243,099
-1 -4,243,099

Now, we try dividing 4,243,099 by 3:

4,243,099 ÷ 3 = 1,414,366.3333

If the quotient is a whole number, then 3 and 1,414,366.3333 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 4,243,099
-1 -4,243,099

Let's try dividing by 4:

4,243,099 ÷ 4 = 1,060,774.75

If the quotient is a whole number, then 4 and 1,060,774.75 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 4,243,099
-1 4,243,099
Keep dividing by the next highest number until you cannot divide anymore.

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

1719611334275231,1593,6618,1139,93731,90369,559223,321606,1574,243,099
-1-7-19-61-133-427-523-1,159-3,661-8,113-9,937-31,903-69,559-223,321-606,157-4,243,099

More Examples

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