Q: What are the factor combinations of the number 771,146,333?

 A:
Positive:   1 x 77114633317 x 45361549109 x 7074737281 x 27442931481 x 5206931853 x 4161614777 x 16142925177 x 30629
Negative: -1 x -771146333-17 x -45361549-109 x -7074737-281 x -2744293-1481 x -520693-1853 x -416161-4777 x -161429-25177 x -30629


How do I find the factor combinations of the number 771,146,333?

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 771,146,333, 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.

1 771,146,333
-1 -771,146,333

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 771,146,333.

Example:
1 x 771,146,333 = 771,146,333
and
-1 x -771,146,333 = 771,146,333
Notice both answers equal 771,146,333

With that explanation out of the way, let's continue. Next, we take the number 771,146,333 and divide it by 2:

771,146,333 ÷ 2 = 385,573,166.5

If the quotient is a whole number, then 2 and 385,573,166.5 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:

1 771,146,333
-1 -771,146,333

Now, we try dividing 771,146,333 by 3:

771,146,333 ÷ 3 = 257,048,777.6667

If the quotient is a whole number, then 3 and 257,048,777.6667 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:

1 771,146,333
-1 -771,146,333

Let's try dividing by 4:

771,146,333 ÷ 4 = 192,786,583.25

If the quotient is a whole number, then 4 and 192,786,583.25 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:

1 771,146,333
-1 771,146,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1171092811,4811,8534,77725,17730,629161,429416,161520,6932,744,2937,074,73745,361,549771,146,333
-1-17-109-281-1,481-1,853-4,777-25,177-30,629-161,429-416,161-520,693-2,744,293-7,074,737-45,361,549-771,146,333

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