name all of the factor and factor strings of 840
please answer
How far have you gotten with this problem?
um.. well for the factors i got 5x168 and i still don't know what factor strings are
so now i got all the factors now what are factor strings
To find the factors of 840, we can start by dividing it by 2 and checking if it evenly divides. If it does, we write down both the divisor and the quotient. Otherwise, we move on to the next number and repeat the process.
Dividing 840 by 2, we get:
840 ÷ 2 = 420
Dividing 420 by 2, we get:
420 ÷ 2 = 210
Dividing 210 by 2, we get:
210 ÷ 2 = 105
Dividing 105 by 3, we get:
105 ÷ 3 = 35
Dividing 35 by 5, we get:
35 ÷ 5 = 7
Since 7 is a prime number, we can stop here. Now we can write down all the factors we have found so far:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420, 840
These are all the factors of 840. Each factor is a number that divides 840 without leaving a remainder.
Now, let's move on to finding the factor strings. A factor string is a combination of factors whose product equals the original number. In this case, every factor string of 840 has two or more factors multiplied together to give the result of 840.
Here are a few examples of factor strings for 840:
2 × 2 × 2 × 3 × 5 × 7 = 840
2 × 2 × 3 × 5 × 7 = 840
2 × 2 × 2 × 3 × 7 × 5 = 840
...
There are many more possible factor strings for 840, but these examples should give you an idea.