Q: What are the factor combinations of the number 245,735?

 A:
Positive:   1 x 2457355 x 491477 x 3510517 x 1445535 x 702149 x 501559 x 416585 x 2891119 x 2065245 x 1003295 x 833413 x 595
Negative: -1 x -245735-5 x -49147-7 x -35105-17 x -14455-35 x -7021-49 x -5015-59 x -4165-85 x -2891-119 x -2065-245 x -1003-295 x -833-413 x -595


How do I find the factor combinations of the number 245,735?

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 245,735, 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.

1 245,735
-1 -245,735

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 245,735.

Example:
1 x 245,735 = 245,735
and
-1 x -245,735 = 245,735
Notice both answers equal 245,735

With that explanation out of the way, let's continue. Next, we take the number 245,735 and divide it by 2:

245,735 ÷ 2 = 122,867.5

If the quotient is a whole number, then 2 and 122,867.5 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:

1 245,735
-1 -245,735

Now, we try dividing 245,735 by 3:

245,735 ÷ 3 = 81,911.6667

If the quotient is a whole number, then 3 and 81,911.6667 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:

1 245,735
-1 -245,735

Let's try dividing by 4:

245,735 ÷ 4 = 61,433.75

If the quotient is a whole number, then 4 and 61,433.75 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:

1 245,735
-1 245,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15717354959851192452954135958331,0032,0652,8914,1655,0157,02114,45535,10549,147245,735
-1-5-7-17-35-49-59-85-119-245-295-413-595-833-1,003-2,065-2,891-4,165-5,015-7,021-14,455-35,105-49,147-245,735

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