Q: What are the factor combinations of the number 335,403,445?

 A:
Positive:   1 x 3354034455 x 6708068913 x 2580026565 x 51600531093 x 3068654721 x 710455465 x 6137314209 x 23605
Negative: -1 x -335403445-5 x -67080689-13 x -25800265-65 x -5160053-1093 x -306865-4721 x -71045-5465 x -61373-14209 x -23605


How do I find the factor combinations of the number 335,403,445?

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 335,403,445, 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.

1 335,403,445
-1 -335,403,445

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 335,403,445.

Example:
1 x 335,403,445 = 335,403,445
and
-1 x -335,403,445 = 335,403,445
Notice both answers equal 335,403,445

With that explanation out of the way, let's continue. Next, we take the number 335,403,445 and divide it by 2:

335,403,445 ÷ 2 = 167,701,722.5

If the quotient is a whole number, then 2 and 167,701,722.5 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:

1 335,403,445
-1 -335,403,445

Now, we try dividing 335,403,445 by 3:

335,403,445 ÷ 3 = 111,801,148.3333

If the quotient is a whole number, then 3 and 111,801,148.3333 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:

1 335,403,445
-1 -335,403,445

Let's try dividing by 4:

335,403,445 ÷ 4 = 83,850,861.25

If the quotient is a whole number, then 4 and 83,850,861.25 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:

1 335,403,445
-1 335,403,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,0934,7215,46514,20923,60561,37371,045306,8655,160,05325,800,26567,080,689335,403,445
-1-5-13-65-1,093-4,721-5,465-14,209-23,605-61,373-71,045-306,865-5,160,053-25,800,265-67,080,689-335,403,445

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