To find the number of even factors of 420, we first need to find the prime factorization of 420.

420 = 2^2 * 3^1 * 5^1 * 7^1

For a factor to be even, it must include the prime factor 2. So, we consider the powers of the other prime factors, which are 3, 5, and 7.

The number of factors is found by adding 1 to each of the powers and then multiplying these results together. However, since we are only interested in even factors, we only add 1 to the powers of 3, 5, and 7 (not 2).

So, the number of even factors is:

(1+1) * (1+1) * (1+1) = 2 * 2 * 2 = 8

So, the correct answer is b. 8.

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To find the number of even factors of 420, we first need to find the prime factorization of 420.

420 = 2^2 * 3^1 * 5^1 * 7^1

For a factor to be even, it must include the prime factor 2. So, we consider the powers of the other prime factors, which are 3, 5, and 7.

The number of factors is found by adding 1 to each of the powers and then multiplying these results together. However, since we are only interested in even factors, we only add 1 to the powers of 3, 5, and 7 (not 2).

So, the number of even factors is:

(1+1) * (1+1) * (1+1) = 2 * 2 * 2 = 8

So, the correct answer is b. 8.

Knowee AI · Accepted Answer

To find the number of even factors of 420, we first need to find the prime factorization of 420.

420 = 2^2 * 3^1 * 5^1 * 7^1

For a factor to be even, it must include the prime factor 2. So, we consider the powers of the other prime factors, which are 3, 5, and 7.

The number of factors is found by adding 1 to each of the powers and then multiplying these results together. However, since we are only interested in even factors, we only add 1 to the powers of 3, 5, and 7 (not 2).

So, the number of even factors is:

(1+1) * (1+1) * (1+1) = 2 * 2 * 2 = 8

So, the correct answer is b. 8.

How many even factors does 420 have?Question 16Answera.24b.8c.16d.1

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