Q: What are the factor combinations of the number 376,760,531?

 A:
Positive:   1 x 3767605317 x 53822933199 x 1893269307 x 1227233881 x 4276511393 x 2704672149 x 1753196167 x 61093
Negative: -1 x -376760531-7 x -53822933-199 x -1893269-307 x -1227233-881 x -427651-1393 x -270467-2149 x -175319-6167 x -61093


How do I find the factor combinations of the number 376,760,531?

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 376,760,531, 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.

1 376,760,531
-1 -376,760,531

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 376,760,531.

Example:
1 x 376,760,531 = 376,760,531
and
-1 x -376,760,531 = 376,760,531
Notice both answers equal 376,760,531

With that explanation out of the way, let's continue. Next, we take the number 376,760,531 and divide it by 2:

376,760,531 ÷ 2 = 188,380,265.5

If the quotient is a whole number, then 2 and 188,380,265.5 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:

1 376,760,531
-1 -376,760,531

Now, we try dividing 376,760,531 by 3:

376,760,531 ÷ 3 = 125,586,843.6667

If the quotient is a whole number, then 3 and 125,586,843.6667 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:

1 376,760,531
-1 -376,760,531

Let's try dividing by 4:

376,760,531 ÷ 4 = 94,190,132.75

If the quotient is a whole number, then 4 and 94,190,132.75 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:

1 376,760,531
-1 376,760,531
Keep dividing by the next highest number until you cannot divide anymore.

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

171993078811,3932,1496,16761,093175,319270,467427,6511,227,2331,893,26953,822,933376,760,531
-1-7-199-307-881-1,393-2,149-6,167-61,093-175,319-270,467-427,651-1,227,233-1,893,269-53,822,933-376,760,531

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