Q: What are the factor combinations of the number 46,703,375?

 A:
Positive:   1 x 467033755 x 934067525 x 186813543 x 1086125125 x 373627215 x 2172251075 x 434455375 x 8689
Negative: -1 x -46703375-5 x -9340675-25 x -1868135-43 x -1086125-125 x -373627-215 x -217225-1075 x -43445-5375 x -8689


How do I find the factor combinations of the number 46,703,375?

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 46,703,375, 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 46,703,375
-1 -46,703,375

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 46,703,375.

Example:
1 x 46,703,375 = 46,703,375
and
-1 x -46,703,375 = 46,703,375
Notice both answers equal 46,703,375

With that explanation out of the way, let's continue. Next, we take the number 46,703,375 and divide it by 2:

46,703,375 ÷ 2 = 23,351,687.5

If the quotient is a whole number, then 2 and 23,351,687.5 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 46,703,375
-1 -46,703,375

Now, we try dividing 46,703,375 by 3:

46,703,375 ÷ 3 = 15,567,791.6667

If the quotient is a whole number, then 3 and 15,567,791.6667 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 46,703,375
-1 -46,703,375

Let's try dividing by 4:

46,703,375 ÷ 4 = 11,675,843.75

If the quotient is a whole number, then 4 and 11,675,843.75 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 46,703,375
-1 46,703,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431252151,0755,3758,68943,445217,225373,6271,086,1251,868,1359,340,67546,703,375
-1-5-25-43-125-215-1,075-5,375-8,689-43,445-217,225-373,627-1,086,125-1,868,135-9,340,675-46,703,375

More Examples

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