Q: What are the factor combinations of the number 602,341,331?

 A:
Positive:   1 x 60234133117 x 3543184347 x 12815773337 x 1787363799 x 7538692237 x 2692635729 x 10513915839 x 38029
Negative: -1 x -602341331-17 x -35431843-47 x -12815773-337 x -1787363-799 x -753869-2237 x -269263-5729 x -105139-15839 x -38029


How do I find the factor combinations of the number 602,341,331?

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 602,341,331, 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.

1 602,341,331
-1 -602,341,331

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 602,341,331.

Example:
1 x 602,341,331 = 602,341,331
and
-1 x -602,341,331 = 602,341,331
Notice both answers equal 602,341,331

With that explanation out of the way, let's continue. Next, we take the number 602,341,331 and divide it by 2:

602,341,331 ÷ 2 = 301,170,665.5

If the quotient is a whole number, then 2 and 301,170,665.5 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:

1 602,341,331
-1 -602,341,331

Now, we try dividing 602,341,331 by 3:

602,341,331 ÷ 3 = 200,780,443.6667

If the quotient is a whole number, then 3 and 200,780,443.6667 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:

1 602,341,331
-1 -602,341,331

Let's try dividing by 4:

602,341,331 ÷ 4 = 150,585,332.75

If the quotient is a whole number, then 4 and 150,585,332.75 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:

1 602,341,331
-1 602,341,331
Keep dividing by the next highest number until you cannot divide anymore.

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

117473377992,2375,72915,83938,029105,139269,263753,8691,787,36312,815,77335,431,843602,341,331
-1-17-47-337-799-2,237-5,729-15,839-38,029-105,139-269,263-753,869-1,787,363-12,815,773-35,431,843-602,341,331

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