Calculate the sum of the whole numbers to 420 that is not divisible by 6

Number 6 would be divisible by number 420 if it had as factors all the prime numbers that occur in the prime factorization of 420.

Step-by-step explanation:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

6 = 2 × 3;

6 is not a prime, is a composite number;

420 = 22 × 3 × 5 × 7;

420 is not a prime, is a composite number;

* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.

* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.

6 does not have (all) the prime factors of the number 420;

6 is not divisible by 420.

Final

6 is not divisible by 420.

6 < 420

6 cannot be divisible by 420.

6 does not have (all) the prime factors of the number 420.