Q: What are the factor combinations of the number 602,647,367?

 A:
Positive:   1 x 6026473677 x 860924818233 x 7319910457 x 57631
Negative: -1 x -602647367-7 x -86092481-8233 x -73199-10457 x -57631


How do I find the factor combinations of the number 602,647,367?

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 602,647,367, 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.

1 602,647,367
-1 -602,647,367

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 602,647,367.

Example:
1 x 602,647,367 = 602,647,367
and
-1 x -602,647,367 = 602,647,367
Notice both answers equal 602,647,367

With that explanation out of the way, let's continue. Next, we take the number 602,647,367 and divide it by 2:

602,647,367 ÷ 2 = 301,323,683.5

If the quotient is a whole number, then 2 and 301,323,683.5 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:

1 602,647,367
-1 -602,647,367

Now, we try dividing 602,647,367 by 3:

602,647,367 ÷ 3 = 200,882,455.6667

If the quotient is a whole number, then 3 and 200,882,455.6667 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:

1 602,647,367
-1 -602,647,367

Let's try dividing by 4:

602,647,367 ÷ 4 = 150,661,841.75

If the quotient is a whole number, then 4 and 150,661,841.75 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:

1 602,647,367
-1 602,647,367
Keep dividing by the next highest number until you cannot divide anymore.

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

178,23310,45757,63173,19986,092,481602,647,367
-1-7-8,233-10,457-57,631-73,199-86,092,481-602,647,367

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 602,647,367:


Ask a Question