Q: What are the factor combinations of the number 45,731,075?

 A:
Positive:   1 x 457310755 x 914621513 x 351777525 x 182924337 x 123597565 x 703555185 x 247195325 x 140711481 x 95075925 x 494392405 x 190153803 x 12025
Negative: -1 x -45731075-5 x -9146215-13 x -3517775-25 x -1829243-37 x -1235975-65 x -703555-185 x -247195-325 x -140711-481 x -95075-925 x -49439-2405 x -19015-3803 x -12025


How do I find the factor combinations of the number 45,731,075?

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 45,731,075, 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 45,731,075
-1 -45,731,075

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 45,731,075.

Example:
1 x 45,731,075 = 45,731,075
and
-1 x -45,731,075 = 45,731,075
Notice both answers equal 45,731,075

With that explanation out of the way, let's continue. Next, we take the number 45,731,075 and divide it by 2:

45,731,075 ÷ 2 = 22,865,537.5

If the quotient is a whole number, then 2 and 22,865,537.5 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 45,731,075
-1 -45,731,075

Now, we try dividing 45,731,075 by 3:

45,731,075 ÷ 3 = 15,243,691.6667

If the quotient is a whole number, then 3 and 15,243,691.6667 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 45,731,075
-1 -45,731,075

Let's try dividing by 4:

45,731,075 ÷ 4 = 11,432,768.75

If the quotient is a whole number, then 4 and 11,432,768.75 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 45,731,075
-1 45,731,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15132537651853254819252,4053,80312,02519,01549,43995,075140,711247,195703,5551,235,9751,829,2433,517,7759,146,21545,731,075
-1-5-13-25-37-65-185-325-481-925-2,405-3,803-12,025-19,015-49,439-95,075-140,711-247,195-703,555-1,235,975-1,829,243-3,517,775-9,146,215-45,731,075

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