Q: What are the factor combinations of the number 767,477,375?

 A:
Positive:   1 x 7674773755 x 1534954757 x 10963962525 x 3069909535 x 21927925125 x 6139819175 x 4385585875 x 877117
Negative: -1 x -767477375-5 x -153495475-7 x -109639625-25 x -30699095-35 x -21927925-125 x -6139819-175 x -4385585-875 x -877117


How do I find the factor combinations of the number 767,477,375?

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 767,477,375, 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.

1 767,477,375
-1 -767,477,375

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 767,477,375.

Example:
1 x 767,477,375 = 767,477,375
and
-1 x -767,477,375 = 767,477,375
Notice both answers equal 767,477,375

With that explanation out of the way, let's continue. Next, we take the number 767,477,375 and divide it by 2:

767,477,375 ÷ 2 = 383,738,687.5

If the quotient is a whole number, then 2 and 383,738,687.5 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:

1 767,477,375
-1 -767,477,375

Now, we try dividing 767,477,375 by 3:

767,477,375 ÷ 3 = 255,825,791.6667

If the quotient is a whole number, then 3 and 255,825,791.6667 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:

1 767,477,375
-1 -767,477,375

Let's try dividing by 4:

767,477,375 ÷ 4 = 191,869,343.75

If the quotient is a whole number, then 4 and 191,869,343.75 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:

1 767,477,375
-1 767,477,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875877,1174,385,5856,139,81921,927,92530,699,095109,639,625153,495,475767,477,375
-1-5-7-25-35-125-175-875-877,117-4,385,585-6,139,819-21,927,925-30,699,095-109,639,625-153,495,475-767,477,375

More Examples

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