Q: What are the factor combinations of the number 1,015,495?

 A:
Positive:   1 x 10154955 x 20309913 x 7811517 x 5973565 x 1562385 x 11947221 x 4595919 x 1105
Negative: -1 x -1015495-5 x -203099-13 x -78115-17 x -59735-65 x -15623-85 x -11947-221 x -4595-919 x -1105


How do I find the factor combinations of the number 1,015,495?

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 1,015,495, 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 1,015,495
-1 -1,015,495

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 1,015,495.

Example:
1 x 1,015,495 = 1,015,495
and
-1 x -1,015,495 = 1,015,495
Notice both answers equal 1,015,495

With that explanation out of the way, let's continue. Next, we take the number 1,015,495 and divide it by 2:

1,015,495 ÷ 2 = 507,747.5

If the quotient is a whole number, then 2 and 507,747.5 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 1,015,495
-1 -1,015,495

Now, we try dividing 1,015,495 by 3:

1,015,495 ÷ 3 = 338,498.3333

If the quotient is a whole number, then 3 and 338,498.3333 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 1,015,495
-1 -1,015,495

Let's try dividing by 4:

1,015,495 ÷ 4 = 253,873.75

If the quotient is a whole number, then 4 and 253,873.75 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 1,015,495
-1 1,015,495
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852219191,1054,59511,94715,62359,73578,115203,0991,015,495
-1-5-13-17-65-85-221-919-1,105-4,595-11,947-15,623-59,735-78,115-203,099-1,015,495

More Examples

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