Problem 3. The product of the ages of a group of teenagers is 10,584,000. Find the number of teenagers in the group and their ages. Hint: Use prime factorization. (Show your method of solving the problem).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
3
42
bmer
to mu
7.
3
Answer. We have 126 = 2 x 3 x 7 x 3.
Problem 3. The product of the ages of a group of teenagers is 10,584,000. Find the number of teenagers in the
group and their ages. Hint: Use prime factorization. (Show your method of solving the problem).
Greatest Common Factor
For
any
two nonzero whole numbers a and b, the greatest common factor,written
GCF(a, b), is the greatest factor (divisor) of both a and b.
Wt bo
Example. GCF(60, 72) = 3. To solve this, find the prime factorizations of 60 and 72. Then, the largest common
factor or divisor of 60 and 72 is the GCF.
womd
Least Common Multiple
For any two nonzero whole numbers a and b;the least common multiple, written og
LCM(a, b), is the smallest multiple of both a and b.
bod
Imun
on a
We can obtain the LCM of two numbers using the following formula:
Transcribed Image Text:3 42 bmer to mu 7. 3 Answer. We have 126 = 2 x 3 x 7 x 3. Problem 3. The product of the ages of a group of teenagers is 10,584,000. Find the number of teenagers in the group and their ages. Hint: Use prime factorization. (Show your method of solving the problem). Greatest Common Factor For any two nonzero whole numbers a and b, the greatest common factor,written GCF(a, b), is the greatest factor (divisor) of both a and b. Wt bo Example. GCF(60, 72) = 3. To solve this, find the prime factorizations of 60 and 72. Then, the largest common factor or divisor of 60 and 72 is the GCF. womd Least Common Multiple For any two nonzero whole numbers a and b;the least common multiple, written og LCM(a, b), is the smallest multiple of both a and b. bod Imun on a We can obtain the LCM of two numbers using the following formula:
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