Q: What are the factor combinations of the number 245,575?

 A:
Positive:   1 x 2455755 x 4911511 x 2232519 x 1292525 x 982347 x 522555 x 446595 x 2585209 x 1175235 x 1045275 x 893475 x 517
Negative: -1 x -245575-5 x -49115-11 x -22325-19 x -12925-25 x -9823-47 x -5225-55 x -4465-95 x -2585-209 x -1175-235 x -1045-275 x -893-475 x -517


How do I find the factor combinations of the number 245,575?

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 245,575, 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.

1 245,575
-1 -245,575

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 245,575.

Example:
1 x 245,575 = 245,575
and
-1 x -245,575 = 245,575
Notice both answers equal 245,575

With that explanation out of the way, let's continue. Next, we take the number 245,575 and divide it by 2:

245,575 ÷ 2 = 122,787.5

If the quotient is a whole number, then 2 and 122,787.5 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:

1 245,575
-1 -245,575

Now, we try dividing 245,575 by 3:

245,575 ÷ 3 = 81,858.3333

If the quotient is a whole number, then 3 and 81,858.3333 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:

1 245,575
-1 -245,575

Let's try dividing by 4:

245,575 ÷ 4 = 61,393.75

If the quotient is a whole number, then 4 and 61,393.75 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:

1 245,575
-1 245,575
Keep dividing by the next highest number until you cannot divide anymore.

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

151119254755952092352754755178931,0451,1752,5854,4655,2259,82312,92522,32549,115245,575
-1-5-11-19-25-47-55-95-209-235-275-475-517-893-1,045-1,175-2,585-4,465-5,225-9,823-12,925-22,325-49,115-245,575

More Examples

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