Q: What are the factor combinations of the number 602,344,015?

 A:
Positive:   1 x 6023440155 x 1204688037 x 8604914513 x 4633415535 x 1720982949 x 1229273565 x 926683191 x 6619165245 x 2458547343 x 1756105455 x 1323833637 x 9455951715 x 3512213185 x 1891194459 x 13508522295 x 27017
Negative: -1 x -602344015-5 x -120468803-7 x -86049145-13 x -46334155-35 x -17209829-49 x -12292735-65 x -9266831-91 x -6619165-245 x -2458547-343 x -1756105-455 x -1323833-637 x -945595-1715 x -351221-3185 x -189119-4459 x -135085-22295 x -27017


How do I find the factor combinations of the number 602,344,015?

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 602,344,015, 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.

1 602,344,015
-1 -602,344,015

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 602,344,015.

Example:
1 x 602,344,015 = 602,344,015
and
-1 x -602,344,015 = 602,344,015
Notice both answers equal 602,344,015

With that explanation out of the way, let's continue. Next, we take the number 602,344,015 and divide it by 2:

602,344,015 ÷ 2 = 301,172,007.5

If the quotient is a whole number, then 2 and 301,172,007.5 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:

1 602,344,015
-1 -602,344,015

Now, we try dividing 602,344,015 by 3:

602,344,015 ÷ 3 = 200,781,338.3333

If the quotient is a whole number, then 3 and 200,781,338.3333 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:

1 602,344,015
-1 -602,344,015

Let's try dividing by 4:

602,344,015 ÷ 4 = 150,586,003.75

If the quotient is a whole number, then 4 and 150,586,003.75 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:

1 602,344,015
-1 602,344,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965912453434556371,7153,1854,45922,29527,017135,085189,119351,221945,5951,323,8331,756,1052,458,5476,619,1659,266,83112,292,73517,209,82946,334,15586,049,145120,468,803602,344,015
-1-5-7-13-35-49-65-91-245-343-455-637-1,715-3,185-4,459-22,295-27,017-135,085-189,119-351,221-945,595-1,323,833-1,756,105-2,458,547-6,619,165-9,266,831-12,292,735-17,209,829-46,334,155-86,049,145-120,468,803-602,344,015

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