Which of the following numbers has the greatest number of distinct prime factors?
A. 165
B. 192
C. 228
D. 330
E. 332
How will i get a prime factor? What should i first?
OA D
Hi lheiannie07,
Let's take a look at your question.
To find the greatest distinct prime factors we need to factorize all the numbers in the options.
Prime factors of 165 = 3 * 5 * 11
Distinct Prime factors of 165 = 3, 5, 11
165 has 3 distinct prime factors.
Prime factors of 192 = 2 * 2 * 2 * 2 * 2 * 2 * 3
Distinct prime factors of 912 = 2, 3
192 has 2 distinct prime factors.
Prime factors of 228 = 2 * 2 * 3 * 19
Distinct prime factors of 228 = 2, 3, 19
228 has 3 distinct prime factors.
Prime factors of 330 = 2 * 3 * 5 * 11
Distinct prime factors of 330 = 2, 3, 5, 11
330 has 4 distinct prime factors.
Prime factors of 332 = 2 * 2 * 83
Distinct prime factors = 2, 2, 83
332 has 3 distinct prime factors.
Therefore, 330 has the greatest number of distinct prime factors.
Option
D is correct.
Hope this helps.
I am available, if you'd like any follow up.
