Q: What are the factor combinations of the number 366,575?

 A:
Positive:   1 x 3665755 x 7331511 x 3332525 x 1466331 x 1182543 x 852555 x 6665155 x 2365215 x 1705275 x 1333341 x 1075473 x 775
Negative: -1 x -366575-5 x -73315-11 x -33325-25 x -14663-31 x -11825-43 x -8525-55 x -6665-155 x -2365-215 x -1705-275 x -1333-341 x -1075-473 x -775


How do I find the factor combinations of the number 366,575?

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 366,575, 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.

1 366,575
-1 -366,575

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 366,575.

Example:
1 x 366,575 = 366,575
and
-1 x -366,575 = 366,575
Notice both answers equal 366,575

With that explanation out of the way, let's continue. Next, we take the number 366,575 and divide it by 2:

366,575 ÷ 2 = 183,287.5

If the quotient is a whole number, then 2 and 183,287.5 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:

1 366,575
-1 -366,575

Now, we try dividing 366,575 by 3:

366,575 ÷ 3 = 122,191.6667

If the quotient is a whole number, then 3 and 122,191.6667 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:

1 366,575
-1 -366,575

Let's try dividing by 4:

366,575 ÷ 4 = 91,643.75

If the quotient is a whole number, then 4 and 91,643.75 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:

1 366,575
-1 366,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1511253143551552152753414737751,0751,3331,7052,3656,6658,52511,82514,66333,32573,315366,575
-1-5-11-25-31-43-55-155-215-275-341-473-775-1,075-1,333-1,705-2,365-6,665-8,525-11,825-14,663-33,325-73,315-366,575

More Examples

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