Q: What are the factor combinations of the number 1,431,023?

 A:
Positive:   1 x 143102311 x 13009319 x 7531741 x 34903167 x 8569209 x 6847451 x 3173779 x 1837
Negative: -1 x -1431023-11 x -130093-19 x -75317-41 x -34903-167 x -8569-209 x -6847-451 x -3173-779 x -1837


How do I find the factor combinations of the number 1,431,023?

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 1,431,023, 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 1,431,023
-1 -1,431,023

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 1,431,023.

Example:
1 x 1,431,023 = 1,431,023
and
-1 x -1,431,023 = 1,431,023
Notice both answers equal 1,431,023

With that explanation out of the way, let's continue. Next, we take the number 1,431,023 and divide it by 2:

1,431,023 ÷ 2 = 715,511.5

If the quotient is a whole number, then 2 and 715,511.5 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 1,431,023
-1 -1,431,023

Now, we try dividing 1,431,023 by 3:

1,431,023 ÷ 3 = 477,007.6667

If the quotient is a whole number, then 3 and 477,007.6667 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 1,431,023
-1 -1,431,023

Let's try dividing by 4:

1,431,023 ÷ 4 = 357,755.75

If the quotient is a whole number, then 4 and 357,755.75 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 1,431,023
-1 1,431,023
Keep dividing by the next highest number until you cannot divide anymore.

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

11119411672094517791,8373,1736,8478,56934,90375,317130,0931,431,023
-1-11-19-41-167-209-451-779-1,837-3,173-6,847-8,569-34,903-75,317-130,093-1,431,023

More Examples

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