Q: What are the factor combinations of the number 16,650,725?

 A:
Positive:   1 x 166507255 x 33301457 x 237867513 x 128082525 x 66602935 x 47573565 x 25616591 x 182975169 x 98525175 x 95147325 x 51233455 x 36595563 x 29575845 x 197051183 x 140752275 x 73192815 x 59153941 x 4225
Negative: -1 x -16650725-5 x -3330145-7 x -2378675-13 x -1280825-25 x -666029-35 x -475735-65 x -256165-91 x -182975-169 x -98525-175 x -95147-325 x -51233-455 x -36595-563 x -29575-845 x -19705-1183 x -14075-2275 x -7319-2815 x -5915-3941 x -4225


How do I find the factor combinations of the number 16,650,725?

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 16,650,725, 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 16,650,725
-1 -16,650,725

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 16,650,725.

Example:
1 x 16,650,725 = 16,650,725
and
-1 x -16,650,725 = 16,650,725
Notice both answers equal 16,650,725

With that explanation out of the way, let's continue. Next, we take the number 16,650,725 and divide it by 2:

16,650,725 ÷ 2 = 8,325,362.5

If the quotient is a whole number, then 2 and 8,325,362.5 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 16,650,725
-1 -16,650,725

Now, we try dividing 16,650,725 by 3:

16,650,725 ÷ 3 = 5,550,241.6667

If the quotient is a whole number, then 3 and 5,550,241.6667 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 16,650,725
-1 -16,650,725

Let's try dividing by 4:

16,650,725 ÷ 4 = 4,162,681.25

If the quotient is a whole number, then 4 and 4,162,681.25 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 16,650,725
-1 16,650,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911691753254555638451,1832,2752,8153,9414,2255,9157,31914,07519,70529,57536,59551,23395,14798,525182,975256,165475,735666,0291,280,8252,378,6753,330,14516,650,725
-1-5-7-13-25-35-65-91-169-175-325-455-563-845-1,183-2,275-2,815-3,941-4,225-5,915-7,319-14,075-19,705-29,575-36,595-51,233-95,147-98,525-182,975-256,165-475,735-666,029-1,280,825-2,378,675-3,330,145-16,650,725

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