Answer:
If we put all of it together we have the factors 2 x 3 x 3 x 5 x 7 = 630. It can also be written in exponential form as 21 x 32 x 51 x 71.
Step-by-step explanation:
Prime factorization expresses an integer in terms of multiples of prime numbers. The prime factorization of the integer 630 is 2×3×3×5×7
Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.
Prime factorization is when all those factors are prime numbers.
Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
Example: 18=2×3×3
The number 630 can be written as:
[tex]630 = 63 \times 10\\630 = (7 \times 9) \times 2 \times 5\\630 = (7 \times (3 \times 3) ) \times 2 \times 5\\630 = 2 \times 3 \times 3 \times 5 \times 7[/tex]
(2,3,5,7 are all prime numbers, so this is prime factorization of 630. Ordering of multiple doesn't matter because of commutative property of multiplication)
Thus, the prime factorization of the integer 630 is 2×3×3×5×7
Learn more about prime factorization here:
https://brainly.com/question/10454590
#SPJ2
