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

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- freckles

so we have
\[a \cdot b \cdot c=7429\]

- freckles

we know prime numbers are odd for the most part

- freckles

and we know 7429 is not even so none of the primes are 2

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## More answers

- freckles

two of her children are teenagers
so they could be 13,17, or 19

- freckles

I would probably try to write the prime factorization of 7429

- freckles

can you do that?

- TinaSh

wait what are prime numbers? :$

- freckles

prime numbers are integers that are only divisible by themselves and 1.

- freckles

the key here is just to write 7429 in prime factorization
that is all there is to the problem

- freckles

like for example
25=5*5 or 5^2
31 is prime
25 was not
umm...
2 is the only even prime

- TinaSh

I dont even know what factorization means >.< I missed few days of school.

- campbell_st

one tip... given the last digit is 9... I'd divide the original number by 17

- freckles

example:
the prime factorization of 12=2*2*3

- TinaSh

thanks <3

- campbell_st

then see if the other 2 primes in the teens divides evenly

- TinaSh

I don't know , I will try to figure it out thanks though

- freckles

well the key to help was the teenager part

- TinaSh

yeah , teens

- freckles

"so they could be 13,17, or 19"
exactly two of these numbers will be factors

- freckles

then you have to find the other factor by divide 7429 by the product of two teenagers

- freckles

what is 7429 divided by 13 ?

- TinaSh

2476.3

- freckles

you 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

so you only have to find one last factor

- freckles

\[\frac{7429}{17 \cdot 19}=?\]

- TinaSh

So far I have done , 17/7429 = 437 /23 = 19

- TinaSh

that leaves me with 1 , if i divide it within 19 itself

- freckles

is this what you meant to say:
\[\frac{7429}{17 \cdot 19}=\frac{7429}{323}=23\]

- freckles

which means 17*19*23=7429

- TinaSh

kinda

- freckles

oh I think I get what you are saying but those fractions aren't equal

- freckles

\[\frac{7429}{17}=437 \\ \frac{437}{23}=19\]

- freckles

first fraction gives 7429=17(437)
then second fraction says 437=23(19)

- freckles

so replace 437 in 7429=17(437) with 23(19)
so 7429=17(23*19)

- freckles

and you did it girl
good job!

- TinaSh

Oh my gosh thank you so much <3

- freckles

and 17,19,23 are all prime because they are only divisible by themselves or 1

- TinaSh

Can 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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