Q: What are the factor combinations of the number 1,501,775?

 A:
Positive:   1 x 15017755 x 30035511 x 13652525 x 6007143 x 3492555 x 27305127 x 11825215 x 6985275 x 5461473 x 3175635 x 23651075 x 1397
Negative: -1 x -1501775-5 x -300355-11 x -136525-25 x -60071-43 x -34925-55 x -27305-127 x -11825-215 x -6985-275 x -5461-473 x -3175-635 x -2365-1075 x -1397


How do I find the factor combinations of the number 1,501,775?

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 1,501,775, 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 1,501,775
-1 -1,501,775

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 1,501,775.

Example:
1 x 1,501,775 = 1,501,775
and
-1 x -1,501,775 = 1,501,775
Notice both answers equal 1,501,775

With that explanation out of the way, let's continue. Next, we take the number 1,501,775 and divide it by 2:

1,501,775 ÷ 2 = 750,887.5

If the quotient is a whole number, then 2 and 750,887.5 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 1,501,775
-1 -1,501,775

Now, we try dividing 1,501,775 by 3:

1,501,775 ÷ 3 = 500,591.6667

If the quotient is a whole number, then 3 and 500,591.6667 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 1,501,775
-1 -1,501,775

Let's try dividing by 4:

1,501,775 ÷ 4 = 375,443.75

If the quotient is a whole number, then 4 and 375,443.75 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 1,501,775
-1 1,501,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15112543551272152754736351,0751,3972,3653,1755,4616,98511,82527,30534,92560,071136,525300,3551,501,775
-1-5-11-25-43-55-127-215-275-473-635-1,075-1,397-2,365-3,175-5,461-6,985-11,825-27,305-34,925-60,071-136,525-300,355-1,501,775

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