what is the prime factorazation for these numbers 36,180,525,165
Prime factorization means, break down into a multiplication problem using only prime numbers. Keep breaking down the numbers until you just have prime numbers in it.
36=3X12
36=3X3X4
36=3X3X2X2
or
36=4X9
36=2X2X9
36=2X2X3X3
You will see it does not matter which two factors you start with, or the order, you end up with the same answer.
6785.oo
what is a prime number that only has one factor--10 or 1
320
whats the primefactorization for 54
express each pair of numbers as products of prime factors and find their gcf and lcm
To find the prime factorization of a number, you need to break it down into its prime factors. Prime factors are prime numbers that can divide the original number exactly, without leaving a remainder.
Let's find the prime factorization for each of the given numbers:
1. Number: 36
- Divide the number by the smallest prime number, which is 2.
- 36 ÷ 2 = 18
- 18 is not a prime number, so we continue to divide by another prime number, 2.
- 18 ÷ 2 = 9
- 9 is not a prime number, so we divide by a prime number again.
- 9 ÷ 3 = 3
- 3 is a prime number.
- Therefore, the prime factorization of 36 is 2 × 2 × 3 × 3, which can be simplified as 2² × 3².
2. Number: 180
- Divide by the smallest prime number, 2.
- 180 ÷ 2 = 90
- 90 ÷ 2 = 45
- 45 ÷ 3 = 15
- 15 ÷ 3 = 5
- 5 is a prime number.
- Therefore, the prime factorization of 180 is 2² × 3 × 5.
3. Number: 525
- Divide by the smallest prime number, 2.
- 525 ÷ 2 = 262.5 (not a whole number).
- We cannot divide further by 2, so we move to the next prime number, which is 3.
- 525 ÷ 3 = 175
- 175 ÷ 5 = 35
- 35 ÷ 5 = 7
- 7 is a prime number.
- Therefore, the prime factorization of 525 is 3 × 5² × 7.
4. Number: 165
- Divide by 3.
- 165 ÷ 3 = 55
- 55 ÷ 5 = 11
- 11 is a prime number.
- Therefore, the prime factorization of 165 is 3 × 5 × 11.
Thus, the prime factorizations for the given numbers are:
- 36 = 2² × 3²
- 180 = 2² × 3 × 5
- 525 = 3 × 5² × 7
- 165 = 3 × 5 × 11