Q: What are the factor combinations of the number 513,703?
A:
Positive:
1 x 51370319 x 27037361 x 1423
Negative:
-1 x -513703-19 x -27037-361 x -1423
A:
Positive:
1 x 51370319 x 27037361 x 1423
Negative:
-1 x -513703-19 x -27037-361 x -1423
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 513,703, it is easier to work with a table - it's called factoring from the outside in.
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 | 513,703 | |
-1 | -513,703 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 513,703.
Example:
1 x 513,703 = 513,703
and
-1 x -513,703 = 513,703
Notice both answers equal 513,703
With that explanation out of the way, let's continue. Next, we take the number 513,703 and divide it by 2:
513,703 ÷ 2 = 256,851.5
If the quotient is a whole number, then 2 and 256,851.5 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 | 513,703 | |
-1 | -513,703 |
Now, we try dividing 513,703 by 3:
513,703 ÷ 3 = 171,234.3333
If the quotient is a whole number, then 3 and 171,234.3333 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 | 513,703 | |
-1 | -513,703 |
Let's try dividing by 4:
513,703 ÷ 4 = 128,425.75
If the quotient is a whole number, then 4 and 128,425.75 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 | 513,703 | |
-1 | 513,703 |
If you did it right, you will end up with this table:
1 | 19 | 361 | 1,423 | 27,037 | 513,703 |
-1 | -19 | -361 | -1,423 | -27,037 | -513,703 |
Here are some more numbers to try:
Try the factor calculator