Q: What are the factor combinations of the number 1,675,375?

 A:
Positive:   1 x 16753755 x 33507513 x 12887525 x 6701565 x 25775125 x 13403325 x 51551031 x 1625
Negative: -1 x -1675375-5 x -335075-13 x -128875-25 x -67015-65 x -25775-125 x -13403-325 x -5155-1031 x -1625


How do I find the factor combinations of the number 1,675,375?

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 1,675,375, 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 1,675,375
-1 -1,675,375

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 1,675,375.

Example:
1 x 1,675,375 = 1,675,375
and
-1 x -1,675,375 = 1,675,375
Notice both answers equal 1,675,375

With that explanation out of the way, let's continue. Next, we take the number 1,675,375 and divide it by 2:

1,675,375 ÷ 2 = 837,687.5

If the quotient is a whole number, then 2 and 837,687.5 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 1,675,375
-1 -1,675,375

Now, we try dividing 1,675,375 by 3:

1,675,375 ÷ 3 = 558,458.3333

If the quotient is a whole number, then 3 and 558,458.3333 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 1,675,375
-1 -1,675,375

Let's try dividing by 4:

1,675,375 ÷ 4 = 418,843.75

If the quotient is a whole number, then 4 and 418,843.75 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 1,675,375
-1 1,675,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,0311,6255,15513,40325,77567,015128,875335,0751,675,375
-1-5-13-25-65-125-325-1,031-1,625-5,155-13,403-25,775-67,015-128,875-335,075-1,675,375

More Examples

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