Q: What are the factor combinations of the number 620,675?

 A:
Positive:   1 x 6206755 x 12413511 x 5642525 x 2482737 x 1677555 x 1128561 x 10175185 x 3355275 x 2257305 x 2035407 x 1525671 x 925
Negative: -1 x -620675-5 x -124135-11 x -56425-25 x -24827-37 x -16775-55 x -11285-61 x -10175-185 x -3355-275 x -2257-305 x -2035-407 x -1525-671 x -925


How do I find the factor combinations of the number 620,675?

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 620,675, 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.

1 620,675
-1 -620,675

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 620,675.

Example:
1 x 620,675 = 620,675
and
-1 x -620,675 = 620,675
Notice both answers equal 620,675

With that explanation out of the way, let's continue. Next, we take the number 620,675 and divide it by 2:

620,675 ÷ 2 = 310,337.5

If the quotient is a whole number, then 2 and 310,337.5 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:

1 620,675
-1 -620,675

Now, we try dividing 620,675 by 3:

620,675 ÷ 3 = 206,891.6667

If the quotient is a whole number, then 3 and 206,891.6667 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:

1 620,675
-1 -620,675

Let's try dividing by 4:

620,675 ÷ 4 = 155,168.75

If the quotient is a whole number, then 4 and 155,168.75 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:

1 620,675
-1 620,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1511253755611852753054076719251,5252,0352,2573,35510,17511,28516,77524,82756,425124,135620,675
-1-5-11-25-37-55-61-185-275-305-407-671-925-1,525-2,035-2,257-3,355-10,175-11,285-16,775-24,827-56,425-124,135-620,675

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