Q: What are the factor combinations of the number 602,231,239?

 A:
Positive:   1 x 60223123917 x 3542536719 x 3169638173 x 8249743323 x 18644931241 x 4852791387 x 43419723579 x 25541
Negative: -1 x -602231239-17 x -35425367-19 x -31696381-73 x -8249743-323 x -1864493-1241 x -485279-1387 x -434197-23579 x -25541


How do I find the factor combinations of the number 602,231,239?

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 602,231,239, 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.

1 602,231,239
-1 -602,231,239

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 602,231,239.

Example:
1 x 602,231,239 = 602,231,239
and
-1 x -602,231,239 = 602,231,239
Notice both answers equal 602,231,239

With that explanation out of the way, let's continue. Next, we take the number 602,231,239 and divide it by 2:

602,231,239 ÷ 2 = 301,115,619.5

If the quotient is a whole number, then 2 and 301,115,619.5 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:

1 602,231,239
-1 -602,231,239

Now, we try dividing 602,231,239 by 3:

602,231,239 ÷ 3 = 200,743,746.3333

If the quotient is a whole number, then 3 and 200,743,746.3333 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:

1 602,231,239
-1 -602,231,239

Let's try dividing by 4:

602,231,239 ÷ 4 = 150,557,809.75

If the quotient is a whole number, then 4 and 150,557,809.75 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:

1 602,231,239
-1 602,231,239
Keep dividing by the next highest number until you cannot divide anymore.

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

11719733231,2411,38723,57925,541434,197485,2791,864,4938,249,74331,696,38135,425,367602,231,239
-1-17-19-73-323-1,241-1,387-23,579-25,541-434,197-485,279-1,864,493-8,249,743-31,696,381-35,425,367-602,231,239

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