# 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
1. I heard the bells on Christmas day
Their old familiar carols play,
And wild and sweet the words repeat
Of peace on earth, good will to men.
2. I thought how, as the day had come,
The belfries of all Christendom
Of peace on earth, good will to men.
3. And in despair I bowed my head:
“There is no peace on earth,” I said,
“For hate is strong and mocks the song
Of peace on earth, good will to men.”
4. Then pealed the bells more loud and deep:
“God is not dead, nor doth he sleep;
The wrong shall fail, the right prevail,
With peace on earth, good will to men.”
5. Till, ringing, singing, on its way,
The world revolved from night to day,
A voice, a chime, a chant sublime,
Of peace on earth, good will to men!