Q: What are the factor combinations of the number 600,244,007?

 A:
Positive:   1 x 60024400711 x 5456763717 x 3530847137 x 16222811187 x 3209861407 x 1474801629 x 9542836919 x 86753
Negative: -1 x -600244007-11 x -54567637-17 x -35308471-37 x -16222811-187 x -3209861-407 x -1474801-629 x -954283-6919 x -86753


How do I find the factor combinations of the number 600,244,007?

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 600,244,007, 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.

1 600,244,007
-1 -600,244,007

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 600,244,007.

Example:
1 x 600,244,007 = 600,244,007
and
-1 x -600,244,007 = 600,244,007
Notice both answers equal 600,244,007

With that explanation out of the way, let's continue. Next, we take the number 600,244,007 and divide it by 2:

600,244,007 ÷ 2 = 300,122,003.5

If the quotient is a whole number, then 2 and 300,122,003.5 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:

1 600,244,007
-1 -600,244,007

Now, we try dividing 600,244,007 by 3:

600,244,007 ÷ 3 = 200,081,335.6667

If the quotient is a whole number, then 3 and 200,081,335.6667 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:

1 600,244,007
-1 -600,244,007

Let's try dividing by 4:

600,244,007 ÷ 4 = 150,061,001.75

If the quotient is a whole number, then 4 and 150,061,001.75 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:

1 600,244,007
-1 600,244,007
Keep dividing by the next highest number until you cannot divide anymore.

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

11117371874076296,91986,753954,2831,474,8013,209,86116,222,81135,308,47154,567,637600,244,007
-1-11-17-37-187-407-629-6,919-86,753-954,283-1,474,801-3,209,861-16,222,811-35,308,471-54,567,637-600,244,007

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