how do you express 276 as a product of its prime factors in index form?
Answers
Answer:
As it is even, it is divisible by 2.
108
2
=
54
54 is also divisible by 2.
108
2
2
=
54
2
=
27
You may recognize 27 as being equal to
3
3
. (If you get a less obvious number then you can simply guess primes smaller than this until you find one that divides it or use division algorithms etc).
So, we divided 108 by
2
2
and
3
3
which gives us
1
.
These two numbers are powers of primes that when multiplied give us 108:
2
2
×
3
3
=
108
Answer:
product of a number’s prime factors is the prime numbers that need to be multiplied together to make that number.
We know 2 is prime and is a factor of 50, so 50/2=25. We know 5 is prime and is a factor of 25, so 25/5=5. We already know 5 is prime, so 50 A’s a product of its prime factors is 2 x 5 x 5
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