Q:

# What number below 100 has the most factors?

A:

The following numbers under 100 have the most factors: 60, 72, 84, 90 and 96. They each have a total of 12 factors, including the number one and the number itself.

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Credit: Rodrigo Moraes CC-BY 2.0

As defined by Merriam-Webster, a factor is a number that divides evenly into another number. Below are the factors for the numbers that have 12 factors:

• 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
• 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Numbers under 100 that have the second-highest number of factors are 48 and 80, which each have 10 factors.

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