The number 120 is an even number. This is obvious since all even integers contain a 0, 2, 4, 6, or 8 in the units column, as follows: Because 120/2 = 60, 2 is a factor. After-Step 1 Factors: 2, 60 Step two: Because 60 is an even number, it may be divided by 2. (See Step 1 for further information.) 60/2 = 30, implying that 2 is another component. After-Step 2 Factors: 2, 2, 30, 3, 0.

Thus, there are two factors of 2 and they both appear on the list once. The list of factors of 120 is therefore 2, 2, 3, 5, 0. There are many other numbers that are multiples of 2 and 3 and that can be used in addition to or instead of 2 and 3. For example, 12, 24, 36, 48 are all multiples of 2 and 3 and they all have different amounts of use in **multiplication problems**. Long before computers, people knew that there were many ways to divide a number into its factors, and that these ways would lead to using various values in order to solve **certain problems**. In this case, the fact that 120 is divisible by 2 but not by 3 leads us to use only integers that are also divisible by 3 in **our answers**.

In general, if a number is divisible by 2 but not by 3, we will need to use numbers that are also divisible by 3 in order to divide it completely. If it is divisible by 3 but not by 2, we will need to use numbers that are also divisible by 2 in order to divide it completely.

So the prime factorization of 80 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 So 120's prime factorization is 2 x 2 x 2 X 3 X 5.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180 are the factors of 180. Factor pairs of 180 are (1,180) (3,60) (5, 36) (9, 20) and (12, 15). .. 180 Pairs of Factors

The product as 180 | Pair factor |
---|---|

180 × 1 = 180 | (180, 1) |

Why is 135's prime factorization expressed as 3 x 5 1? What exactly is prime factorization? The process of determining which prime numbers may be multiplied together to get the original number is known as prime factorization or prime factor decomposition. To get the prime factors, divide the number by **the first prime number**, which is 2. Then, repeat for **each remaining divisor**.

In **this case**, 2 does not divide 135 so we move on to 3. 3 is the only other possible divisor of 135 so we multiply 3 times itself to see if it divides into 135. It does so, with no remainder, so 3 is a factor of 135. Next, we need to check 5. 5 does not divide into 135 so we are done here.

The prime factorization of a number is useful for finding **its factors** and also for determining whether or not a number is prime. For example, the prime factorization of 135 is 3 x 5 1 because this number has factors 3 and 5 as well as 1. Since 1 is not a prime number, 135 is not prime.

It should be noted that there are infinitely many numbers with same prime factorization as that of 135. For example, 15 = 3 x 5 is another number with same prime factorization as that of 135. However, they are not equal since 15 is not a multiple of 1. So, factoring numbers is useful but not necessary for determining their equality or inequality.