Q: What are the factor combinations of the number 1,288,925?

 A:
Positive:   1 x 12889255 x 25778511 x 11717525 x 5155743 x 2997555 x 23435109 x 11825215 x 5995275 x 4687473 x 2725545 x 23651075 x 1199
Negative: -1 x -1288925-5 x -257785-11 x -117175-25 x -51557-43 x -29975-55 x -23435-109 x -11825-215 x -5995-275 x -4687-473 x -2725-545 x -2365-1075 x -1199


How do I find the factor combinations of the number 1,288,925?

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 1,288,925, 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 1,288,925
-1 -1,288,925

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 1,288,925.

Example:
1 x 1,288,925 = 1,288,925
and
-1 x -1,288,925 = 1,288,925
Notice both answers equal 1,288,925

With that explanation out of the way, let's continue. Next, we take the number 1,288,925 and divide it by 2:

1,288,925 ÷ 2 = 644,462.5

If the quotient is a whole number, then 2 and 644,462.5 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 1,288,925
-1 -1,288,925

Now, we try dividing 1,288,925 by 3:

1,288,925 ÷ 3 = 429,641.6667

If the quotient is a whole number, then 3 and 429,641.6667 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 1,288,925
-1 -1,288,925

Let's try dividing by 4:

1,288,925 ÷ 4 = 322,231.25

If the quotient is a whole number, then 4 and 322,231.25 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 1,288,925
-1 1,288,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15112543551092152754735451,0751,1992,3652,7254,6875,99511,82523,43529,97551,557117,175257,7851,288,925
-1-5-11-25-43-55-109-215-275-473-545-1,075-1,199-2,365-2,725-4,687-5,995-11,825-23,435-29,975-51,557-117,175-257,785-1,288,925

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