Q: What are the factor combinations of the number 443,307,635?

 A:
Positive:   1 x 4433076355 x 8866152723 x 1927424553 x 8364295115 x 3854849265 x 16728591219 x 3636656095 x 72733
Negative: -1 x -443307635-5 x -88661527-23 x -19274245-53 x -8364295-115 x -3854849-265 x -1672859-1219 x -363665-6095 x -72733


How do I find the factor combinations of the number 443,307,635?

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 443,307,635, 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.

1 443,307,635
-1 -443,307,635

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 443,307,635.

Example:
1 x 443,307,635 = 443,307,635
and
-1 x -443,307,635 = 443,307,635
Notice both answers equal 443,307,635

With that explanation out of the way, let's continue. Next, we take the number 443,307,635 and divide it by 2:

443,307,635 ÷ 2 = 221,653,817.5

If the quotient is a whole number, then 2 and 221,653,817.5 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:

1 443,307,635
-1 -443,307,635

Now, we try dividing 443,307,635 by 3:

443,307,635 ÷ 3 = 147,769,211.6667

If the quotient is a whole number, then 3 and 147,769,211.6667 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:

1 443,307,635
-1 -443,307,635

Let's try dividing by 4:

443,307,635 ÷ 4 = 110,826,908.75

If the quotient is a whole number, then 4 and 110,826,908.75 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:

1 443,307,635
-1 443,307,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1523531152651,2196,09572,733363,6651,672,8593,854,8498,364,29519,274,24588,661,527443,307,635
-1-5-23-53-115-265-1,219-6,095-72,733-363,665-1,672,859-3,854,849-8,364,295-19,274,245-88,661,527-443,307,635

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