Q: What are the factor combinations of the number 452,725?

 A:
Positive:   1 x 4527255 x 905457 x 6467513 x 3482525 x 1810935 x 1293565 x 696591 x 4975175 x 2587199 x 2275325 x 1393455 x 995
Negative: -1 x -452725-5 x -90545-7 x -64675-13 x -34825-25 x -18109-35 x -12935-65 x -6965-91 x -4975-175 x -2587-199 x -2275-325 x -1393-455 x -995


How do I find the factor combinations of the number 452,725?

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 452,725, 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.

1 452,725
-1 -452,725

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 452,725.

Example:
1 x 452,725 = 452,725
and
-1 x -452,725 = 452,725
Notice both answers equal 452,725

With that explanation out of the way, let's continue. Next, we take the number 452,725 and divide it by 2:

452,725 ÷ 2 = 226,362.5

If the quotient is a whole number, then 2 and 226,362.5 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:

1 452,725
-1 -452,725

Now, we try dividing 452,725 by 3:

452,725 ÷ 3 = 150,908.3333

If the quotient is a whole number, then 3 and 150,908.3333 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:

1 452,725
-1 -452,725

Let's try dividing by 4:

452,725 ÷ 4 = 113,181.25

If the quotient is a whole number, then 4 and 113,181.25 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:

1 452,725
-1 452,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911751993254559951,3932,2752,5874,9756,96512,93518,10934,82564,67590,545452,725
-1-5-7-13-25-35-65-91-175-199-325-455-995-1,393-2,275-2,587-4,975-6,965-12,935-18,109-34,825-64,675-90,545-452,725

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