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Bunuel
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Bunuel
How many unique factors does 96 have?

A. 8
B. 10
C. 12
D. 14
E. 15
For me, learning the method was a lot easier than remembering the formula (kudos to sashiim20 ), so

1. Find prime factors of 96 =>
2*2*2*2*2*3, or \(2^53^1\)

2. Take the power of each prime factor and add 1

5+1 = 6 and
1+1= 2

3. Multiply results: 6*2 = 12, which includes all of the distinct factors of 96 including 96 and 1.

Answer C
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Bunuel
How many unique factors does 96 have?

A. 8
B. 10
C. 12
D. 14
E. 15

The posters above have used a useful rule (which I am providing a video for below). However, if you weren't aware of that rule, you can always just list the factors.

When doing so, find pairs, starting from the lowest and biggest factors. We get:

Factors of 96: {1, 96}
Factors of 96: {1, 2, 48, 96}
Factors of 96: {1, 2, 3, 32, 48, 96}
.
.
.
and so on..
.
Factors of 96: {1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96}
12 factors

Answer: C

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Bunuel
How many unique factors does 96 have?

A. 8
B. 10
C. 12
D. 14
E. 15

96 = 3 x 32 = 2^5 x 3^1, thus 96 has (5 + 1)(1 + 1) = 6 x 2 = 12 unique factors

Answer: C
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