# 321 I Heard the Bells on Christmas Day

321 is made solely from three consecutive numbers so it can be evenly divided by 3.

• 321 is a composite number.
• Prime factorization: 321 = 3 x 107
• The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 x 2 = 4. Therefore 321 has exactly 4 factors.
• Factors of 321: 1, 3, 107, 321
• Factor pairs: 321 = 1 x 321 or 3 x 107
• 321 has no square factors that allow its square root to be simplified. √321 ≈ 17.916
Print the puzzles or type the factors on this excel file: 10 Factors 2014-12-08

One Christmas day about the time of the Civil War, Henry Wadsworth Longfellow wrote a poem he titled “Christmas Bells”. 5/7 of that poem later became the song known as “I Heard the Bells on Christmas Day”. You can read the poem’s complete original text here.

## 2 thoughts on “321 I Heard the Bells on Christmas Day”

1. Okay, I hear my husband coming in from clearing the snow, but I managed to do my first find-the-factor puzzle. I started with a level two, the one with number 319, flew through that and a the level four on this page, then was humbled by the level five, Finished it in time to be signing off. Spoiler alert…the top row is 5 2 1 10 6 4 9 8 3 7 right? Fun!

• Yes.
I design the puzzles to have only one solution so you can be sure that if the factors you find work, then you have found the correct solution. About a week after I publish the puzzles, I update the posts with either the correct factors or a table showing a way to arrive at the correct solution logically.

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