Q: What are the factor combinations of the number 450,600,017?

 A:
Positive:   1 x 4506000177 x 6437143197 x 4645361269 x 1675093679 x 6636231883 x 2392992467 x 18265117269 x 26093
Negative: -1 x -450600017-7 x -64371431-97 x -4645361-269 x -1675093-679 x -663623-1883 x -239299-2467 x -182651-17269 x -26093


How do I find the factor combinations of the number 450,600,017?

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 450,600,017, 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.

1 450,600,017
-1 -450,600,017

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 450,600,017.

Example:
1 x 450,600,017 = 450,600,017
and
-1 x -450,600,017 = 450,600,017
Notice both answers equal 450,600,017

With that explanation out of the way, let's continue. Next, we take the number 450,600,017 and divide it by 2:

450,600,017 ÷ 2 = 225,300,008.5

If the quotient is a whole number, then 2 and 225,300,008.5 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:

1 450,600,017
-1 -450,600,017

Now, we try dividing 450,600,017 by 3:

450,600,017 ÷ 3 = 150,200,005.6667

If the quotient is a whole number, then 3 and 150,200,005.6667 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:

1 450,600,017
-1 -450,600,017

Let's try dividing by 4:

450,600,017 ÷ 4 = 112,650,004.25

If the quotient is a whole number, then 4 and 112,650,004.25 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:

1 450,600,017
-1 450,600,017
Keep dividing by the next highest number until you cannot divide anymore.

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

17972696791,8832,46717,26926,093182,651239,299663,6231,675,0934,645,36164,371,431450,600,017
-1-7-97-269-679-1,883-2,467-17,269-26,093-182,651-239,299-663,623-1,675,093-4,645,361-64,371,431-450,600,017

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