Question

Select five numbers that have 13, 2, and 3 as prime factors.

A390 B156 C897 D78 E312 F234 G598 H138

Answer 1

5 Answers: A, B, D, E, F

390, 156, 78, 312, 234

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Step-by-step explanation:

Since 13, 2 and 3 are required to be prime factors, this means 13*2*3 = 26*3 = 78 must be a factor of whatever we're after.

This means that we can divide each answer choice over 78 to see which results in a whole number or not

• A) 390/78 = 5
• B) 156/78 = 2
• C) 897/78 = 11.5
• D) 78/78 = 1
• E) 312/78 = 4
• F) 234/78 = 3
• G) 598/78 = 7.667 approximately
• H) 138/78 = 1.769 approximately

We can see that choices A, B, D, E and F result in whole numbers. Everything else is a decimal. So that's why 390, 156, 78, 312, and 234 are multiples of 78 and they are numbers that fit the requirements.