Q: What are the factor combinations of the number 1,363,271?

 A:
Positive:   1 x 13632717 x 19475313 x 10486771 x 1920191 x 14981211 x 6461497 x 2743923 x 1477
Negative: -1 x -1363271-7 x -194753-13 x -104867-71 x -19201-91 x -14981-211 x -6461-497 x -2743-923 x -1477


How do I find the factor combinations of the number 1,363,271?

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 1,363,271, 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 1,363,271
-1 -1,363,271

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 1,363,271.

Example:
1 x 1,363,271 = 1,363,271
and
-1 x -1,363,271 = 1,363,271
Notice both answers equal 1,363,271

With that explanation out of the way, let's continue. Next, we take the number 1,363,271 and divide it by 2:

1,363,271 ÷ 2 = 681,635.5

If the quotient is a whole number, then 2 and 681,635.5 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 1,363,271
-1 -1,363,271

Now, we try dividing 1,363,271 by 3:

1,363,271 ÷ 3 = 454,423.6667

If the quotient is a whole number, then 3 and 454,423.6667 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 1,363,271
-1 -1,363,271

Let's try dividing by 4:

1,363,271 ÷ 4 = 340,817.75

If the quotient is a whole number, then 4 and 340,817.75 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 1,363,271
-1 1,363,271
Keep dividing by the next highest number until you cannot divide anymore.

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

171371912114979231,4772,7436,46114,98119,201104,867194,7531,363,271
-1-7-13-71-91-211-497-923-1,477-2,743-6,461-14,981-19,201-104,867-194,753-1,363,271

More Examples

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