Q: What are the factor combinations of the number 604,002,113?

 A:
Positive:   1 x 60400211311 x 5490928313 x 46461701121 x 4991753143 x 4223791169 x 35739771573 x 3839811859 x 32490720449 x 29537
Negative: -1 x -604002113-11 x -54909283-13 x -46461701-121 x -4991753-143 x -4223791-169 x -3573977-1573 x -383981-1859 x -324907-20449 x -29537


How do I find the factor combinations of the number 604,002,113?

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 604,002,113, 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.

1 604,002,113
-1 -604,002,113

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 604,002,113.

Example:
1 x 604,002,113 = 604,002,113
and
-1 x -604,002,113 = 604,002,113
Notice both answers equal 604,002,113

With that explanation out of the way, let's continue. Next, we take the number 604,002,113 and divide it by 2:

604,002,113 ÷ 2 = 302,001,056.5

If the quotient is a whole number, then 2 and 302,001,056.5 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:

1 604,002,113
-1 -604,002,113

Now, we try dividing 604,002,113 by 3:

604,002,113 ÷ 3 = 201,334,037.6667

If the quotient is a whole number, then 3 and 201,334,037.6667 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:

1 604,002,113
-1 -604,002,113

Let's try dividing by 4:

604,002,113 ÷ 4 = 151,000,528.25

If the quotient is a whole number, then 4 and 151,000,528.25 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:

1 604,002,113
-1 604,002,113
Keep dividing by the next highest number until you cannot divide anymore.

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

111131211431691,5731,85920,44929,537324,907383,9813,573,9774,223,7914,991,75346,461,70154,909,283604,002,113
-1-11-13-121-143-169-1,573-1,859-20,449-29,537-324,907-383,981-3,573,977-4,223,791-4,991,753-46,461,701-54,909,283-604,002,113

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