# 908 Haunted House

I combined most of this week’s puzzles to make a haunted house. None of the levels are listed on it, but I will include the levels as I publish each puzzle separately sometime this week. If you enter this haunted house, will you be able to escape? Warning: This should not be the first Find The Factors puzzle you try. A couple of the puzzles in it may be easy, but the rest could be very scary! Print the puzzles or type the solution on this excel file: 12 factors 905-913

908 can be written as the sum of two consecutive odd numbers:

• 453 + 455 = 908

Four consecutive even numbers:

• 224 + 226 + 228 + 230 = 908

And eight consecutive counting numbers:

• 110 + 111 + 112 + 113 + 114 + 115 + 116 + 117 = 908

There wasn’t much to say about the number 908, but it’s always possible to find something.

• 908 is a composite number.
• Prime factorization: 908 = 2 × 2 × 227, which can be written 908 = 2² × 227
• The exponents in the prime factorization are 2 and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1) = 3 × 2  = 6. Therefore 908 has exactly 6 factors.
• Factors of 908: 1, 2, 4, 227, 454, 908
• Factor pairs: 908 = 1 × 908, 2 × 454, or 4 × 227
• Taking the factor pair with the largest square number factor, we get √908 = (√4)(√227) = 2√227 ≈ 30.1330383 This site uses Akismet to reduce spam. Learn how your comment data is processed.
{"ft_lang_label":"__label__en","ft_lang_prob":0.8993706,"math_prob":0.9823429,"size":1271,"snap":"2022-40-2023-06","text_gpt3_token_len":389,"char_repetition_ratio":0.11207577,"word_repetition_ratio":0.0,"special_character_ratio":0.3949646,"punctuation_ratio":0.11940298,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9941346,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,7,null,3,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-09-25T14:59:17Z\",\"WARC-Record-ID\":\"<urn:uuid:8a33c6bd-481e-44e4-a982-e2330cbb84c7>\",\"Content-Length\":\"58839\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:8363d687-eefb-42a2-83a3-6b6c036e8abd>\",\"WARC-Concurrent-To\":\"<urn:uuid:9e2936ff-97cf-4f57-95db-1ec844fbca35>\",\"WARC-IP-Address\":\"192.0.78.153\",\"WARC-Target-URI\":\"https://findthefactors.com/2017/10/12/908-haunted-house/\",\"WARC-Payload-Digest\":\"sha1:6OWRX2HLZCKPPGA5RFJIOE34PVKCKI4Y\",\"WARC-Block-Digest\":\"sha1:RAVDPIBGURZTZ4TDNPD3X5O5QF5QMMON\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030334579.46_warc_CC-MAIN-20220925132046-20220925162046-00304.warc.gz\"}"}