Q: What are the factor combinations of the number 37,834,811?
A:
Positive:
1 x 378348117 x 540497349 x 772139
Negative:
-1 x -37834811-7 x -5404973-49 x -772139
A:
Positive:
1 x 378348117 x 540497349 x 772139
Negative:
-1 x -37834811-7 x -5404973-49 x -772139
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 37,834,811, 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 | 37,834,811 | |
-1 | -37,834,811 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,834,811.
Example:
1 x 37,834,811 = 37,834,811
and
-1 x -37,834,811 = 37,834,811
Notice both answers equal 37,834,811
With that explanation out of the way, let's continue. Next, we take the number 37,834,811 and divide it by 2:
37,834,811 ÷ 2 = 18,917,405.5
If the quotient is a whole number, then 2 and 18,917,405.5 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 | 37,834,811 | |
-1 | -37,834,811 |
Now, we try dividing 37,834,811 by 3:
37,834,811 ÷ 3 = 12,611,603.6667
If the quotient is a whole number, then 3 and 12,611,603.6667 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 | 37,834,811 | |
-1 | -37,834,811 |
Let's try dividing by 4:
37,834,811 ÷ 4 = 9,458,702.75
If the quotient is a whole number, then 4 and 9,458,702.75 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 | 37,834,811 | |
-1 | 37,834,811 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 772,139 | 5,404,973 | 37,834,811 |
-1 | -7 | -49 | -772,139 | -5,404,973 | -37,834,811 |
Here are some more numbers to try:
Try the factor calculator