Q: What are the factor combinations of the number 356,251?
A:
Positive:
1 x 3562517 x 50893
Negative:
-1 x -356251-7 x -50893
A:
Positive:
1 x 3562517 x 50893
Negative:
-1 x -356251-7 x -50893
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 356,251, 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 | 356,251 | |
-1 | -356,251 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 356,251.
Example:
1 x 356,251 = 356,251
and
-1 x -356,251 = 356,251
Notice both answers equal 356,251
With that explanation out of the way, let's continue. Next, we take the number 356,251 and divide it by 2:
356,251 ÷ 2 = 178,125.5
If the quotient is a whole number, then 2 and 178,125.5 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 | 356,251 | |
-1 | -356,251 |
Now, we try dividing 356,251 by 3:
356,251 ÷ 3 = 118,750.3333
If the quotient is a whole number, then 3 and 118,750.3333 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 | 356,251 | |
-1 | -356,251 |
Let's try dividing by 4:
356,251 ÷ 4 = 89,062.75
If the quotient is a whole number, then 4 and 89,062.75 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 | 356,251 | |
-1 | 356,251 |
If you did it right, you will end up with this table:
1 | 7 | 50,893 | 356,251 |
-1 | -7 | -50,893 | -356,251 |
Here are some more numbers to try:
Try the factor calculator