Q: What are the factor combinations of the number 357,043?
A:
Positive:
1 x 35704367 x 532973 x 4891
Negative:
-1 x -357043-67 x -5329-73 x -4891
A:
Positive:
1 x 35704367 x 532973 x 4891
Negative:
-1 x -357043-67 x -5329-73 x -4891
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 357,043, 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 | 357,043 | |
-1 | -357,043 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 357,043.
Example:
1 x 357,043 = 357,043
and
-1 x -357,043 = 357,043
Notice both answers equal 357,043
With that explanation out of the way, let's continue. Next, we take the number 357,043 and divide it by 2:
357,043 ÷ 2 = 178,521.5
If the quotient is a whole number, then 2 and 178,521.5 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 | 357,043 | |
-1 | -357,043 |
Now, we try dividing 357,043 by 3:
357,043 ÷ 3 = 119,014.3333
If the quotient is a whole number, then 3 and 119,014.3333 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 | 357,043 | |
-1 | -357,043 |
Let's try dividing by 4:
357,043 ÷ 4 = 89,260.75
If the quotient is a whole number, then 4 and 89,260.75 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 | 357,043 | |
-1 | 357,043 |
If you did it right, you will end up with this table:
1 | 67 | 73 | 4,891 | 5,329 | 357,043 |
-1 | -67 | -73 | -4,891 | -5,329 | -357,043 |
Here are some more numbers to try:
Try the factor calculator