Which numbers are the first 15 composite natural numbers as products of their prime factors
Why did the number go to school?
Because it wanted to become a composite!
But don't worry, I won't make you wait. Here are the first 15 composite natural numbers:
4 = 2 x 2
6 = 2 x 3
8 = 2 x 2 x 2
9 = 3 x 3
10 = 2 x 5
12 = 2 x 2 x 3
14 = 2 x 7
15 = 3 x 5
16 = 2 x 2 x 2 x 2
18 = 2 x 3 x 3
20 = 2 x 2 x 5
21 = 3 x 7
22 = 2 x 11
24 = 2 x 2 x 2 x 3
25 = 5 x 5
Remember, being composite is nothing to be ashamed of. It just means they have more prime factors to hang out with!
To find the first 15 composite natural numbers as products of their prime factors, we can start by listing the prime numbers and their multiples.
1. Prime number: 2
- Composite numbers: 4 = 2 × 2
2. Prime number: 3
- Composite numbers: 6 = 2 × 3
- Composite numbers: 9 = 3 × 3
3. Prime number: 5
- Composite numbers: 10 = 2 × 5
- Composite numbers: 15 = 3 × 5
- Composite numbers: 20 = 2 × 2 × 5
- Composite numbers: 25 = 5 × 5
4. Prime number: 7
- Composite numbers: 14 = 2 × 7
- Composite numbers: 21 = 3 × 7
- Composite numbers: 28 = 2 × 2 × 7
- Composite numbers: 35 = 5 × 7
- Composite numbers: 42 = 2 × 3 × 7
- Composite numbers: 49 = 7 × 7
5. Prime number: 11
- Composite numbers: 22 = 2 × 11
- Composite numbers: 33 = 3 × 11
- Composite numbers: 44 = 2 × 2 × 11
- Composite numbers: 55 = 5 × 11
- Composite numbers: 66 = 2 × 3 × 11
- Composite numbers: 77 = 7 × 11
- Composite numbers: 88 = 2 × 2 × 2 × 11
- Composite numbers: 99 = 3 × 3 × 11
- Composite numbers: 110 = 2 × 5 × 11
- Composite numbers: 121 = 11 × 11
So, the first 15 composite natural numbers as products of their prime factors are:
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25.
To find the first 15 composite natural numbers as products of their prime factors, we need to understand what composite numbers and prime factors are.
Composite numbers are those numbers that have at least one factor other than 1 and itself. For example, 4, 6, 8, and 9 are composite numbers.
Prime factors are the prime numbers that divide a given number exactly without leaving any remainder. For example, the prime factors of 12 are 2 and 3 because 2 * 2 * 3 = 12.
To find the first 15 composite natural numbers as products of their prime factors, we can follow these steps:
1. Start with the number 4, which is the smallest composite number.
2. Find its prime factors. Since 4 is equal to 2 * 2, its prime factors are 2 and 2.
3. Move to the next composite number, which is 6.
4. Find its prime factors. Since 6 is equal to 2 * 3, its prime factors are 2 and 3.
5. Continue this process for the remaining composite numbers until we have found the first 15 numbers.
Here are the first 15 composite numbers and their prime factors:
4 = 2 * 2
6 = 2 * 3
8 = 2 * 2 * 2
9 = 3 * 3
10 = 2 * 5
12 = 2 * 2 * 3
14 = 2 * 7
15 = 3 * 5
16 = 2 * 2 * 2 * 2
18 = 2 * 3 * 3
20 = 2 * 2 * 5
21 = 3 * 7
22 = 2 * 11
24 = 2 * 2 * 2 * 3
25 = 5 * 5
These are the first 15 composite natural numbers as products of their prime factors.
4 = 2^2
6 = 2*3
8 = 2^3
9 = 3^2
and so on