Q: What are the factor combinations of the number 365,305,157?

 A:
Positive:   1 x 3653051577 x 52186451113 x 3232789137 x 2666461791 x 461827959 x 3809233371 x 10836715481 x 23597
Negative: -1 x -365305157-7 x -52186451-113 x -3232789-137 x -2666461-791 x -461827-959 x -380923-3371 x -108367-15481 x -23597


How do I find the factor combinations of the number 365,305,157?

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 365,305,157, 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.

1 365,305,157
-1 -365,305,157

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 365,305,157.

Example:
1 x 365,305,157 = 365,305,157
and
-1 x -365,305,157 = 365,305,157
Notice both answers equal 365,305,157

With that explanation out of the way, let's continue. Next, we take the number 365,305,157 and divide it by 2:

365,305,157 ÷ 2 = 182,652,578.5

If the quotient is a whole number, then 2 and 182,652,578.5 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:

1 365,305,157
-1 -365,305,157

Now, we try dividing 365,305,157 by 3:

365,305,157 ÷ 3 = 121,768,385.6667

If the quotient is a whole number, then 3 and 121,768,385.6667 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:

1 365,305,157
-1 -365,305,157

Let's try dividing by 4:

365,305,157 ÷ 4 = 91,326,289.25

If the quotient is a whole number, then 4 and 91,326,289.25 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:

1 365,305,157
-1 365,305,157
Keep dividing by the next highest number until you cannot divide anymore.

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

171131377919593,37115,48123,597108,367380,923461,8272,666,4613,232,78952,186,451365,305,157
-1-7-113-137-791-959-3,371-15,481-23,597-108,367-380,923-461,827-2,666,461-3,232,789-52,186,451-365,305,157

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