{"id":556,"date":"2012-10-14T01:46:06","date_gmt":"2012-10-14T01:46:06","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=556"},"modified":"2012-10-14T01:46:06","modified_gmt":"2012-10-14T01:46:06","slug":"prime-numbers-and-prime-factorization","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/prime-numbers-and-prime-factorization\/","title":{"rendered":"Prime Numbers and Prime Factorization"},"content":{"rendered":"

In math tutoring, prime numbers and prime factorization are receiving fresh attention.\u00a0 We’ll briefly look at the concepts.<\/h1>\n

Before we talk about prime numbers, let’s define factor.\u00a0 In math, a factor is a number that divides into another number with no remainder.\u00a0 Therefore, 4 is a factor of 12; 7 is a factor of 14.<\/p>\n

We also need to define product.\u00a0 A product is the answer to a multiplication.\u00a0 Therefore, the product of 2 and 5 is 10.\u00a0 We could also say that 36 is the product of 9 and 4.<\/p>\n

A prime number is a number with only two factors:\u00a0 itself and one.\u00a0 The number 1 is not prime, since it only has one factor:\u00a0 1.\u00a0 However, 2 is prime, as are 3, 5, 7,11,13, 19, and so on.\u00a0 Note that 9 is not prime, since 9 has 3 as a factor besides itself and 1.<\/p>\n

The prime factorization of a number is the number stated as a product of primes.\u00a0 Each number has a unique prime factorization, if you discount the different orders.\u00a0 The prime factorization of 10 is 2×5.\u00a0 The prime factorization of 48 is 2x2x2x2x3, or 24<\/sup>x3.\u00a0 Note, once again, that the prime factorization only includes prime numbers as defined above.<\/p>\n

To illustrate how to get the prime factorization of a number, you might use the ancient “factor tree” method.\u00a0 For example, imagine you need the prime factorization of 396:
\n\"\"<\/p>\n

Notice each path ends with a prime number.\u00a0 Collecting them all gives 396=2x2x3x3x11, or 396=2\u00b2x3\u00b2x11.<\/p>\n

We’ll explore some uses of the prime factorization in future posts.<\/p>\n

Jack of\u00a0 Oracle Tutoring by Jack and Diane<\/a>, Campbell River, BC<\/p>\n","protected":false},"excerpt":{"rendered":"

In math tutoring, prime numbers and prime factorization are receiving fresh attention.\u00a0 We’ll briefly look at the concepts. Before we talk about prime numbers, let’s define factor.\u00a0 In math, a factor is a number that divides into another number with …<\/p>\n

Prime Numbers and Prime Factorization<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-556","post","type-post","status-publish","format-standard","hentry","category-math"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/556","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=556"}],"version-history":[{"count":21,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/556\/revisions"}],"predecessor-version":[{"id":577,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/556\/revisions\/577"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=556"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=556"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=556"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}