Q: What are the factor combinations of the number 601,044,455?

 A:
Positive:   1 x 6010444555 x 12020889111 x 5464040555 x 10928081719 x 8359453595 x 1671897909 x 7599515199 x 39545
Negative: -1 x -601044455-5 x -120208891-11 x -54640405-55 x -10928081-719 x -835945-3595 x -167189-7909 x -75995-15199 x -39545


How do I find the factor combinations of the number 601,044,455?

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 601,044,455, 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.

1 601,044,455
-1 -601,044,455

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 601,044,455.

Example:
1 x 601,044,455 = 601,044,455
and
-1 x -601,044,455 = 601,044,455
Notice both answers equal 601,044,455

With that explanation out of the way, let's continue. Next, we take the number 601,044,455 and divide it by 2:

601,044,455 ÷ 2 = 300,522,227.5

If the quotient is a whole number, then 2 and 300,522,227.5 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:

1 601,044,455
-1 -601,044,455

Now, we try dividing 601,044,455 by 3:

601,044,455 ÷ 3 = 200,348,151.6667

If the quotient is a whole number, then 3 and 200,348,151.6667 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:

1 601,044,455
-1 -601,044,455

Let's try dividing by 4:

601,044,455 ÷ 4 = 150,261,113.75

If the quotient is a whole number, then 4 and 150,261,113.75 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:

1 601,044,455
-1 601,044,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1511557193,5957,90915,19939,54575,995167,189835,94510,928,08154,640,405120,208,891601,044,455
-1-5-11-55-719-3,595-7,909-15,199-39,545-75,995-167,189-835,945-10,928,081-54,640,405-120,208,891-601,044,455

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