Q: What are the factor combinations of the number 365,585?

 A:
Positive:   1 x 3655855 x 7311711 x 3323517 x 2150523 x 1589555 x 664785 x 4301115 x 3179187 x 1955253 x 1445289 x 1265391 x 935
Negative: -1 x -365585-5 x -73117-11 x -33235-17 x -21505-23 x -15895-55 x -6647-85 x -4301-115 x -3179-187 x -1955-253 x -1445-289 x -1265-391 x -935


How do I find the factor combinations of the number 365,585?

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 365,585, 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.

1 365,585
-1 -365,585

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 365,585.

Example:
1 x 365,585 = 365,585
and
-1 x -365,585 = 365,585
Notice both answers equal 365,585

With that explanation out of the way, let's continue. Next, we take the number 365,585 and divide it by 2:

365,585 ÷ 2 = 182,792.5

If the quotient is a whole number, then 2 and 182,792.5 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:

1 365,585
-1 -365,585

Now, we try dividing 365,585 by 3:

365,585 ÷ 3 = 121,861.6667

If the quotient is a whole number, then 3 and 121,861.6667 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:

1 365,585
-1 -365,585

Let's try dividing by 4:

365,585 ÷ 4 = 91,396.25

If the quotient is a whole number, then 4 and 91,396.25 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:

1 365,585
-1 365,585
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172355851151872532893919351,2651,4451,9553,1794,3016,64715,89521,50533,23573,117365,585
-1-5-11-17-23-55-85-115-187-253-289-391-935-1,265-1,445-1,955-3,179-4,301-6,647-15,895-21,505-33,235-73,117-365,585

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 365,585:


Ask a Question