Prime factors of 37289
Answers
Answer:
7, 7, 761.
Step-by-step explanation:
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Answer : Thus, the Prime Factors of 37289 are:
7, 7, 761.
Explanation :-The process of finding the Prime Factors of 37289 is called Prime Factorization of 37289. To get the Prime Factors of 37289, you divide 37289 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1.
This Prime Factorization process creates what we call the Prime Factor Tree of 37289. See illustration below.
Factor tree of 37289
All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 37289. Here is the math to illustrate:
37289 ÷ 7 = 5327
5327 ÷ 7 = 761
761 ÷ 761 = 1
Again, all the prime numbers you used to divide above are the Prime Factors of 37289. Thus, the Prime Factors of 37289 are:
7, 7, 761.