Q: What are the factor combinations of the number 361,404,757?

 A:
Positive:   1 x 3614047577 x 5162925119 x 1902130329 x 12462233133 x 2717329203 x 1780319551 x 6559073857 x 93701
Negative: -1 x -361404757-7 x -51629251-19 x -19021303-29 x -12462233-133 x -2717329-203 x -1780319-551 x -655907-3857 x -93701


How do I find the factor combinations of the number 361,404,757?

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 361,404,757, 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.

1 361,404,757
-1 -361,404,757

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 361,404,757.

Example:
1 x 361,404,757 = 361,404,757
and
-1 x -361,404,757 = 361,404,757
Notice both answers equal 361,404,757

With that explanation out of the way, let's continue. Next, we take the number 361,404,757 and divide it by 2:

361,404,757 ÷ 2 = 180,702,378.5

If the quotient is a whole number, then 2 and 180,702,378.5 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:

1 361,404,757
-1 -361,404,757

Now, we try dividing 361,404,757 by 3:

361,404,757 ÷ 3 = 120,468,252.3333

If the quotient is a whole number, then 3 and 120,468,252.3333 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:

1 361,404,757
-1 -361,404,757

Let's try dividing by 4:

361,404,757 ÷ 4 = 90,351,189.25

If the quotient is a whole number, then 4 and 90,351,189.25 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:

1 361,404,757
-1 361,404,757
Keep dividing by the next highest number until you cannot divide anymore.

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

1719291332035513,85793,701655,9071,780,3192,717,32912,462,23319,021,30351,629,251361,404,757
-1-7-19-29-133-203-551-3,857-93,701-655,907-1,780,319-2,717,329-12,462,233-19,021,303-51,629,251-361,404,757

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