Q: What are the factor combinations of the number 840,275?

 A:
Positive:   1 x 8402755 x 16805519 x 4422525 x 3361129 x 2897561 x 1377595 x 8845145 x 5795305 x 2755475 x 1769551 x 1525725 x 1159
Negative: -1 x -840275-5 x -168055-19 x -44225-25 x -33611-29 x -28975-61 x -13775-95 x -8845-145 x -5795-305 x -2755-475 x -1769-551 x -1525-725 x -1159


How do I find the factor combinations of the number 840,275?

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 840,275, 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.

1 840,275
-1 -840,275

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 840,275.

Example:
1 x 840,275 = 840,275
and
-1 x -840,275 = 840,275
Notice both answers equal 840,275

With that explanation out of the way, let's continue. Next, we take the number 840,275 and divide it by 2:

840,275 ÷ 2 = 420,137.5

If the quotient is a whole number, then 2 and 420,137.5 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:

1 840,275
-1 -840,275

Now, we try dividing 840,275 by 3:

840,275 ÷ 3 = 280,091.6667

If the quotient is a whole number, then 3 and 280,091.6667 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:

1 840,275
-1 -840,275

Let's try dividing by 4:

840,275 ÷ 4 = 210,068.75

If the quotient is a whole number, then 4 and 210,068.75 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:

1 840,275
-1 840,275
Keep dividing by the next highest number until you cannot divide anymore.

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

1519252961951453054755517251,1591,5251,7692,7555,7958,84513,77528,97533,61144,225168,055840,275
-1-5-19-25-29-61-95-145-305-475-551-725-1,159-1,525-1,769-2,755-5,795-8,845-13,775-28,975-33,611-44,225-168,055-840,275

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