Q: What are the factor combinations of the number 361,675?

 A:
Positive:   1 x 3616755 x 7233517 x 2127523 x 1572525 x 1446737 x 977585 x 4255115 x 3145185 x 1955391 x 925425 x 851575 x 629
Negative: -1 x -361675-5 x -72335-17 x -21275-23 x -15725-25 x -14467-37 x -9775-85 x -4255-115 x -3145-185 x -1955-391 x -925-425 x -851-575 x -629


How do I find the factor combinations of the number 361,675?

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 361,675, 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.

1 361,675
-1 -361,675

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 361,675.

Example:
1 x 361,675 = 361,675
and
-1 x -361,675 = 361,675
Notice both answers equal 361,675

With that explanation out of the way, let's continue. Next, we take the number 361,675 and divide it by 2:

361,675 ÷ 2 = 180,837.5

If the quotient is a whole number, then 2 and 180,837.5 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:

1 361,675
-1 -361,675

Now, we try dividing 361,675 by 3:

361,675 ÷ 3 = 120,558.3333

If the quotient is a whole number, then 3 and 120,558.3333 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:

1 361,675
-1 -361,675

Let's try dividing by 4:

361,675 ÷ 4 = 90,418.75

If the quotient is a whole number, then 4 and 90,418.75 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:

1 361,675
-1 361,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1517232537851151853914255756298519251,9553,1454,2559,77514,46715,72521,27572,335361,675
-1-5-17-23-25-37-85-115-185-391-425-575-629-851-925-1,955-3,145-4,255-9,775-14,467-15,725-21,275-72,335-361,675

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