Q: What are the factor combinations of the number 245,525?

 A:
Positive:   1 x 2455255 x 491057 x 3507523 x 1067525 x 982135 x 701561 x 4025115 x 2135161 x 1525175 x 1403305 x 805427 x 575
Negative: -1 x -245525-5 x -49105-7 x -35075-23 x -10675-25 x -9821-35 x -7015-61 x -4025-115 x -2135-161 x -1525-175 x -1403-305 x -805-427 x -575


How do I find the factor combinations of the number 245,525?

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 245,525, 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.

1 245,525
-1 -245,525

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 245,525.

Example:
1 x 245,525 = 245,525
and
-1 x -245,525 = 245,525
Notice both answers equal 245,525

With that explanation out of the way, let's continue. Next, we take the number 245,525 and divide it by 2:

245,525 ÷ 2 = 122,762.5

If the quotient is a whole number, then 2 and 122,762.5 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:

1 245,525
-1 -245,525

Now, we try dividing 245,525 by 3:

245,525 ÷ 3 = 81,841.6667

If the quotient is a whole number, then 3 and 81,841.6667 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:

1 245,525
-1 -245,525

Let's try dividing by 4:

245,525 ÷ 4 = 61,381.25

If the quotient is a whole number, then 4 and 61,381.25 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:

1 245,525
-1 245,525
Keep dividing by the next highest number until you cannot divide anymore.

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

157232535611151611753054275758051,4031,5252,1354,0257,0159,82110,67535,07549,105245,525
-1-5-7-23-25-35-61-115-161-175-305-427-575-805-1,403-1,525-2,135-4,025-7,015-9,821-10,675-35,075-49,105-245,525

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