Q: What are the factor combinations of the number 946,075?

 A:
Positive:   1 x 9460755 x 18921513 x 7277525 x 3784341 x 2307565 x 1455571 x 13325205 x 4615325 x 2911355 x 2665533 x 1775923 x 1025
Negative: -1 x -946075-5 x -189215-13 x -72775-25 x -37843-41 x -23075-65 x -14555-71 x -13325-205 x -4615-325 x -2911-355 x -2665-533 x -1775-923 x -1025


How do I find the factor combinations of the number 946,075?

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 946,075, 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.

1 946,075
-1 -946,075

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 946,075.

Example:
1 x 946,075 = 946,075
and
-1 x -946,075 = 946,075
Notice both answers equal 946,075

With that explanation out of the way, let's continue. Next, we take the number 946,075 and divide it by 2:

946,075 ÷ 2 = 473,037.5

If the quotient is a whole number, then 2 and 473,037.5 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:

1 946,075
-1 -946,075

Now, we try dividing 946,075 by 3:

946,075 ÷ 3 = 315,358.3333

If the quotient is a whole number, then 3 and 315,358.3333 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:

1 946,075
-1 -946,075

Let's try dividing by 4:

946,075 ÷ 4 = 236,518.75

If the quotient is a whole number, then 4 and 236,518.75 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:

1 946,075
-1 946,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1513254165712053253555339231,0251,7752,6652,9114,61513,32514,55523,07537,84372,775189,215946,075
-1-5-13-25-41-65-71-205-325-355-533-923-1,025-1,775-2,665-2,911-4,615-13,325-14,555-23,075-37,843-72,775-189,215-946,075

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