Q: What are the factor combinations of the number 901,075?

 A:
Positive:   1 x 9010755 x 1802157 x 12872519 x 4742525 x 3604335 x 2574595 x 9485133 x 6775175 x 5149271 x 3325475 x 1897665 x 1355
Negative: -1 x -901075-5 x -180215-7 x -128725-19 x -47425-25 x -36043-35 x -25745-95 x -9485-133 x -6775-175 x -5149-271 x -3325-475 x -1897-665 x -1355


How do I find the factor combinations of the number 901,075?

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 901,075, 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.

1 901,075
-1 -901,075

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 901,075.

Example:
1 x 901,075 = 901,075
and
-1 x -901,075 = 901,075
Notice both answers equal 901,075

With that explanation out of the way, let's continue. Next, we take the number 901,075 and divide it by 2:

901,075 ÷ 2 = 450,537.5

If the quotient is a whole number, then 2 and 450,537.5 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:

1 901,075
-1 -901,075

Now, we try dividing 901,075 by 3:

901,075 ÷ 3 = 300,358.3333

If the quotient is a whole number, then 3 and 300,358.3333 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:

1 901,075
-1 -901,075

Let's try dividing by 4:

901,075 ÷ 4 = 225,268.75

If the quotient is a whole number, then 4 and 225,268.75 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:

1 901,075
-1 901,075
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331752714756651,3551,8973,3255,1496,7759,48525,74536,04347,425128,725180,215901,075
-1-5-7-19-25-35-95-133-175-271-475-665-1,355-1,897-3,325-5,149-6,775-9,485-25,745-36,043-47,425-128,725-180,215-901,075

More Examples

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