Q: What are the factor combinations of the number 431,795?

 A:
Positive:   1 x 4317955 x 863597 x 6168513 x 3321535 x 1233765 x 664373 x 591591 x 4745169 x 2555365 x 1183455 x 949511 x 845
Negative: -1 x -431795-5 x -86359-7 x -61685-13 x -33215-35 x -12337-65 x -6643-73 x -5915-91 x -4745-169 x -2555-365 x -1183-455 x -949-511 x -845


How do I find the factor combinations of the number 431,795?

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 431,795, 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.

1 431,795
-1 -431,795

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 431,795.

Example:
1 x 431,795 = 431,795
and
-1 x -431,795 = 431,795
Notice both answers equal 431,795

With that explanation out of the way, let's continue. Next, we take the number 431,795 and divide it by 2:

431,795 ÷ 2 = 215,897.5

If the quotient is a whole number, then 2 and 215,897.5 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:

1 431,795
-1 -431,795

Now, we try dividing 431,795 by 3:

431,795 ÷ 3 = 143,931.6667

If the quotient is a whole number, then 3 and 143,931.6667 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:

1 431,795
-1 -431,795

Let's try dividing by 4:

431,795 ÷ 4 = 107,948.75

If the quotient is a whole number, then 4 and 107,948.75 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:

1 431,795
-1 431,795
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356573911693654555118459491,1832,5554,7455,9156,64312,33733,21561,68586,359431,795
-1-5-7-13-35-65-73-91-169-365-455-511-845-949-1,183-2,555-4,745-5,915-6,643-12,337-33,215-61,685-86,359-431,795

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 431,795:


Ask a Question