Q: What are the factor combinations of the number 70,219?
A:
Positive:
1 x 7021923 x 305343 x 163371 x 989
Negative:
-1 x -70219-23 x -3053-43 x -1633-71 x -989
A:
Positive:
1 x 7021923 x 305343 x 163371 x 989
Negative:
-1 x -70219-23 x -3053-43 x -1633-71 x -989
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 70,219, 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 | 70,219 | |
-1 | -70,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 70,219.
Example:
1 x 70,219 = 70,219
and
-1 x -70,219 = 70,219
Notice both answers equal 70,219
With that explanation out of the way, let's continue. Next, we take the number 70,219 and divide it by 2:
70,219 ÷ 2 = 35,109.5
If the quotient is a whole number, then 2 and 35,109.5 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 | 70,219 | |
-1 | -70,219 |
Now, we try dividing 70,219 by 3:
70,219 ÷ 3 = 23,406.3333
If the quotient is a whole number, then 3 and 23,406.3333 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 | 70,219 | |
-1 | -70,219 |
Let's try dividing by 4:
70,219 ÷ 4 = 17,554.75
If the quotient is a whole number, then 4 and 17,554.75 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 | 70,219 | |
-1 | 70,219 |
If you did it right, you will end up with this table:
1 | 23 | 43 | 71 | 989 | 1,633 | 3,053 | 70,219 |
-1 | -23 | -43 | -71 | -989 | -1,633 | -3,053 | -70,219 |
Here are some more numbers to try:
Try the factor calculator