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.

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step-by-step explanation:

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whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.