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TinaSh
 one year ago
A mathematician states that her children’s
ages are all prime numbers that multiply
together to give 7,429. She also says that
two of her children are teenagers.
What are her children s age?
TinaSh
 one year ago
A mathematician states that her children’s ages are all prime numbers that multiply together to give 7,429. She also says that two of her children are teenagers. What are her children s age?

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freckles
 one year ago
Best ResponseYou've already chosen the best response.3so we have \[a \cdot b \cdot c=7429\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.3we know prime numbers are odd for the most part

freckles
 one year ago
Best ResponseYou've already chosen the best response.3and we know 7429 is not even so none of the primes are 2

freckles
 one year ago
Best ResponseYou've already chosen the best response.3two of her children are teenagers so they could be 13,17, or 19

freckles
 one year ago
Best ResponseYou've already chosen the best response.3I would probably try to write the prime factorization of 7429

TinaSh
 one year ago
Best ResponseYou've already chosen the best response.1wait what are prime numbers? :$

freckles
 one year ago
Best ResponseYou've already chosen the best response.3prime numbers are integers that are only divisible by themselves and 1.

freckles
 one year ago
Best ResponseYou've already chosen the best response.3the key here is just to write 7429 in prime factorization that is all there is to the problem

freckles
 one year ago
Best ResponseYou've already chosen the best response.3like for example 25=5*5 or 5^2 31 is prime 25 was not umm... 2 is the only even prime

TinaSh
 one year ago
Best ResponseYou've already chosen the best response.1I dont even know what factorization means >.< I missed few days of school.

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0one tip... given the last digit is 9... I'd divide the original number by 17

freckles
 one year ago
Best ResponseYou've already chosen the best response.3example: the prime factorization of 12=2*2*3

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0then see if the other 2 primes in the teens divides evenly

TinaSh
 one year ago
Best ResponseYou've already chosen the best response.1I don't know , I will try to figure it out thanks though

freckles
 one year ago
Best ResponseYou've already chosen the best response.3well the key to help was the teenager part

freckles
 one year ago
Best ResponseYou've already chosen the best response.3"so they could be 13,17, or 19" exactly two of these numbers will be factors

freckles
 one year ago
Best ResponseYou've already chosen the best response.3then you have to find the other factor by divide 7429 by the product of two teenagers

freckles
 one year ago
Best ResponseYou've already chosen the best response.3what is 7429 divided by 13 ?

freckles
 one year ago
Best ResponseYou've already chosen the best response.3you should get some kind of remainder that isn't 0 which would mean 13 is not factor of 7429 which means the other two number 17 and 19 are factors of 7429

freckles
 one year ago
Best ResponseYou've already chosen the best response.3so you only have to find one last factor

freckles
 one year ago
Best ResponseYou've already chosen the best response.3\[\frac{7429}{17 \cdot 19}=?\]

TinaSh
 one year ago
Best ResponseYou've already chosen the best response.1So far I have done , 17/7429 = 437 /23 = 19

TinaSh
 one year ago
Best ResponseYou've already chosen the best response.1that leaves me with 1 , if i divide it within 19 itself

freckles
 one year ago
Best ResponseYou've already chosen the best response.3is this what you meant to say: \[\frac{7429}{17 \cdot 19}=\frac{7429}{323}=23\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.3which means 17*19*23=7429

freckles
 one year ago
Best ResponseYou've already chosen the best response.3oh I think I get what you are saying but those fractions aren't equal

freckles
 one year ago
Best ResponseYou've already chosen the best response.3\[\frac{7429}{17}=437 \\ \frac{437}{23}=19\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.3first fraction gives 7429=17(437) then second fraction says 437=23(19)

freckles
 one year ago
Best ResponseYou've already chosen the best response.3so replace 437 in 7429=17(437) with 23(19) so 7429=17(23*19)

freckles
 one year ago
Best ResponseYou've already chosen the best response.3and you did it girl good job!

TinaSh
 one year ago
Best ResponseYou've already chosen the best response.1Oh my gosh thank you so much <3

freckles
 one year ago
Best ResponseYou've already chosen the best response.3and 17,19,23 are all prime because they are only divisible by themselves or 1

TinaSh
 one year ago
Best ResponseYou've already chosen the best response.1Can I get this straight first XD I wanna be completely sure 17/7421 = 19 divide by 23 or what? Oh my gosh I am confusing myself
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