Q: What are the factor combinations of the number 929,473?
A:
Positive:
1 x 92947331 x 29983
Negative:
-1 x -929473-31 x -29983
A:
Positive:
1 x 92947331 x 29983
Negative:
-1 x -929473-31 x -29983
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 929,473, 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 | 929,473 | |
-1 | -929,473 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 929,473.
Example:
1 x 929,473 = 929,473
and
-1 x -929,473 = 929,473
Notice both answers equal 929,473
With that explanation out of the way, let's continue. Next, we take the number 929,473 and divide it by 2:
929,473 ÷ 2 = 464,736.5
If the quotient is a whole number, then 2 and 464,736.5 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 | 929,473 | |
-1 | -929,473 |
Now, we try dividing 929,473 by 3:
929,473 ÷ 3 = 309,824.3333
If the quotient is a whole number, then 3 and 309,824.3333 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 | 929,473 | |
-1 | -929,473 |
Let's try dividing by 4:
929,473 ÷ 4 = 232,368.25
If the quotient is a whole number, then 4 and 232,368.25 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 | 929,473 | |
-1 | 929,473 |
If you did it right, you will end up with this table:
1 | 31 | 29,983 | 929,473 |
-1 | -31 | -29,983 | -929,473 |
Here are some more numbers to try:
Try the factor calculator