Q: What are the factor combinations of the number 1,131,431?

 A:
Positive:   1 x 11314317 x 16163319 x 5954947 x 24073133 x 8507181 x 6251329 x 3439893 x 1267
Negative: -1 x -1131431-7 x -161633-19 x -59549-47 x -24073-133 x -8507-181 x -6251-329 x -3439-893 x -1267


How do I find the factor combinations of the number 1,131,431?

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 1,131,431, 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 1,131,431
-1 -1,131,431

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 1,131,431.

Example:
1 x 1,131,431 = 1,131,431
and
-1 x -1,131,431 = 1,131,431
Notice both answers equal 1,131,431

With that explanation out of the way, let's continue. Next, we take the number 1,131,431 and divide it by 2:

1,131,431 ÷ 2 = 565,715.5

If the quotient is a whole number, then 2 and 565,715.5 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 1,131,431
-1 -1,131,431

Now, we try dividing 1,131,431 by 3:

1,131,431 ÷ 3 = 377,143.6667

If the quotient is a whole number, then 3 and 377,143.6667 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 1,131,431
-1 -1,131,431

Let's try dividing by 4:

1,131,431 ÷ 4 = 282,857.75

If the quotient is a whole number, then 4 and 282,857.75 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 1,131,431
-1 1,131,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1719471331813298931,2673,4396,2518,50724,07359,549161,6331,131,431
-1-7-19-47-133-181-329-893-1,267-3,439-6,251-8,507-24,073-59,549-161,633-1,131,431

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