Q: What are the factor combinations of the number 37,219?
A:
Positive:
1 x 372197 x 531713 x 286391 x 409
Negative:
-1 x -37219-7 x -5317-13 x -2863-91 x -409
A:
Positive:
1 x 372197 x 531713 x 286391 x 409
Negative:
-1 x -37219-7 x -5317-13 x -2863-91 x -409
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 37,219, 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 | 37,219 | |
-1 | -37,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,219.
Example:
1 x 37,219 = 37,219
and
-1 x -37,219 = 37,219
Notice both answers equal 37,219
With that explanation out of the way, let's continue. Next, we take the number 37,219 and divide it by 2:
37,219 ÷ 2 = 18,609.5
If the quotient is a whole number, then 2 and 18,609.5 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 | 37,219 | |
-1 | -37,219 |
Now, we try dividing 37,219 by 3:
37,219 ÷ 3 = 12,406.3333
If the quotient is a whole number, then 3 and 12,406.3333 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 | 37,219 | |
-1 | -37,219 |
Let's try dividing by 4:
37,219 ÷ 4 = 9,304.75
If the quotient is a whole number, then 4 and 9,304.75 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 | 37,219 | |
-1 | 37,219 |
If you did it right, you will end up with this table:
1 | 7 | 13 | 91 | 409 | 2,863 | 5,317 | 37,219 |
-1 | -7 | -13 | -91 | -409 | -2,863 | -5,317 | -37,219 |
Here are some more numbers to try:
Try the factor calculator