Q: What are the factor combinations of the number 770,155?

 A:
Positive:   1 x 7701555 x 15403123 x 3348537 x 20815115 x 6697181 x 4255185 x 4163851 x 905
Negative: -1 x -770155-5 x -154031-23 x -33485-37 x -20815-115 x -6697-181 x -4255-185 x -4163-851 x -905


How do I find the factor combinations of the number 770,155?

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 770,155, 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.

1 770,155
-1 -770,155

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 770,155.

Example:
1 x 770,155 = 770,155
and
-1 x -770,155 = 770,155
Notice both answers equal 770,155

With that explanation out of the way, let's continue. Next, we take the number 770,155 and divide it by 2:

770,155 ÷ 2 = 385,077.5

If the quotient is a whole number, then 2 and 385,077.5 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:

1 770,155
-1 -770,155

Now, we try dividing 770,155 by 3:

770,155 ÷ 3 = 256,718.3333

If the quotient is a whole number, then 3 and 256,718.3333 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:

1 770,155
-1 -770,155

Let's try dividing by 4:

770,155 ÷ 4 = 192,538.75

If the quotient is a whole number, then 4 and 192,538.75 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:

1 770,155
-1 770,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151811858519054,1634,2556,69720,81533,485154,031770,155
-1-5-23-37-115-181-185-851-905-4,163-4,255-6,697-20,815-33,485-154,031-770,155

More Examples

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