Q: What are the factor combinations of the number 46,623,059?
A:
Positive:
1 x 466230597 x 666043749 x 951491
Negative:
-1 x -46623059-7 x -6660437-49 x -951491
A:
Positive:
1 x 466230597 x 666043749 x 951491
Negative:
-1 x -46623059-7 x -6660437-49 x -951491
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 46,623,059, 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 | 46,623,059 | |
-1 | -46,623,059 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 46,623,059.
Example:
1 x 46,623,059 = 46,623,059
and
-1 x -46,623,059 = 46,623,059
Notice both answers equal 46,623,059
With that explanation out of the way, let's continue. Next, we take the number 46,623,059 and divide it by 2:
46,623,059 ÷ 2 = 23,311,529.5
If the quotient is a whole number, then 2 and 23,311,529.5 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 | 46,623,059 | |
-1 | -46,623,059 |
Now, we try dividing 46,623,059 by 3:
46,623,059 ÷ 3 = 15,541,019.6667
If the quotient is a whole number, then 3 and 15,541,019.6667 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 | 46,623,059 | |
-1 | -46,623,059 |
Let's try dividing by 4:
46,623,059 ÷ 4 = 11,655,764.75
If the quotient is a whole number, then 4 and 11,655,764.75 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 | 46,623,059 | |
-1 | 46,623,059 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 951,491 | 6,660,437 | 46,623,059 |
-1 | -7 | -49 | -951,491 | -6,660,437 | -46,623,059 |
Here are some more numbers to try:
Try the factor calculator