Q: What are the factor combinations of the number 377,304,655?

 A:
Positive:   1 x 3773046555 x 754609317 x 5390066513 x 2902343535 x 1078013349 x 770009565 x 580468791 x 4146205245 x 1540019455 x 829241637 x 5923153185 x 118463
Negative: -1 x -377304655-5 x -75460931-7 x -53900665-13 x -29023435-35 x -10780133-49 x -7700095-65 x -5804687-91 x -4146205-245 x -1540019-455 x -829241-637 x -592315-3185 x -118463


How do I find the factor combinations of the number 377,304,655?

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 377,304,655, 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.

1 377,304,655
-1 -377,304,655

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 377,304,655.

Example:
1 x 377,304,655 = 377,304,655
and
-1 x -377,304,655 = 377,304,655
Notice both answers equal 377,304,655

With that explanation out of the way, let's continue. Next, we take the number 377,304,655 and divide it by 2:

377,304,655 ÷ 2 = 188,652,327.5

If the quotient is a whole number, then 2 and 188,652,327.5 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:

1 377,304,655
-1 -377,304,655

Now, we try dividing 377,304,655 by 3:

377,304,655 ÷ 3 = 125,768,218.3333

If the quotient is a whole number, then 3 and 125,768,218.3333 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:

1 377,304,655
-1 -377,304,655

Let's try dividing by 4:

377,304,655 ÷ 4 = 94,326,163.75

If the quotient is a whole number, then 4 and 94,326,163.75 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:

1 377,304,655
-1 377,304,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965912454556373,185118,463592,315829,2411,540,0194,146,2055,804,6877,700,09510,780,13329,023,43553,900,66575,460,931377,304,655
-1-5-7-13-35-49-65-91-245-455-637-3,185-118,463-592,315-829,241-1,540,019-4,146,205-5,804,687-7,700,095-10,780,133-29,023,435-53,900,665-75,460,931-377,304,655

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