Q: What are the factor combinations of the number 143,420,413?
A:
Positive:
1 x 1434204138699 x 16487
Negative:
-1 x -143420413-8699 x -16487
A:
Positive:
1 x 1434204138699 x 16487
Negative:
-1 x -143420413-8699 x -16487
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 143,420,413, 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 | 143,420,413 | |
-1 | -143,420,413 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 143,420,413.
Example:
1 x 143,420,413 = 143,420,413
and
-1 x -143,420,413 = 143,420,413
Notice both answers equal 143,420,413
With that explanation out of the way, let's continue. Next, we take the number 143,420,413 and divide it by 2:
143,420,413 ÷ 2 = 71,710,206.5
If the quotient is a whole number, then 2 and 71,710,206.5 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 | 143,420,413 | |
-1 | -143,420,413 |
Now, we try dividing 143,420,413 by 3:
143,420,413 ÷ 3 = 47,806,804.3333
If the quotient is a whole number, then 3 and 47,806,804.3333 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 | 143,420,413 | |
-1 | -143,420,413 |
Let's try dividing by 4:
143,420,413 ÷ 4 = 35,855,103.25
If the quotient is a whole number, then 4 and 35,855,103.25 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 | 143,420,413 | |
-1 | 143,420,413 |
If you did it right, you will end up with this table:
1 | 8,699 | 16,487 | 143,420,413 |
-1 | -8,699 | -16,487 | -143,420,413 |
Here are some more numbers to try:
Try the factor calculator