Q: What are the factor combinations of the number 450,622,613?

 A:
Positive:   1 x 4506226137 x 64374659167 x 2698339269 x 16751771169 x 3854771433 x 3144611883 x 23931110031 x 44923
Negative: -1 x -450622613-7 x -64374659-167 x -2698339-269 x -1675177-1169 x -385477-1433 x -314461-1883 x -239311-10031 x -44923


How do I find the factor combinations of the number 450,622,613?

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 450,622,613, 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.

1 450,622,613
-1 -450,622,613

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 450,622,613.

Example:
1 x 450,622,613 = 450,622,613
and
-1 x -450,622,613 = 450,622,613
Notice both answers equal 450,622,613

With that explanation out of the way, let's continue. Next, we take the number 450,622,613 and divide it by 2:

450,622,613 ÷ 2 = 225,311,306.5

If the quotient is a whole number, then 2 and 225,311,306.5 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:

1 450,622,613
-1 -450,622,613

Now, we try dividing 450,622,613 by 3:

450,622,613 ÷ 3 = 150,207,537.6667

If the quotient is a whole number, then 3 and 150,207,537.6667 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:

1 450,622,613
-1 -450,622,613

Let's try dividing by 4:

450,622,613 ÷ 4 = 112,655,653.25

If the quotient is a whole number, then 4 and 112,655,653.25 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:

1 450,622,613
-1 450,622,613
Keep dividing by the next highest number until you cannot divide anymore.

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

171672691,1691,4331,88310,03144,923239,311314,461385,4771,675,1772,698,33964,374,659450,622,613
-1-7-167-269-1,169-1,433-1,883-10,031-44,923-239,311-314,461-385,477-1,675,177-2,698,339-64,374,659-450,622,613

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