Express 250 as the product of its prime factors.
Write the prime factors in ascending order
Answers
Answer:
The prime factors of 250 are : 2,5,5,5 . ⚫Now, 2×5×5×5 = 250 , therefore this is the expression as the product of the prime factors. ⚫The prime factors in ascending order are : 2,5,5,5.
Step-by-step explanation:
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To Find :- Express 250 as the product of its prime factors. Write the prime factors in ascending order ?
Solution :-
We know that,
- If unit digit of a number is 0 , it is divisible by 2 .
- 2 is the smallest prime number .
- If unit digit of a number is 5 , it is divisible by 5 .
So,
→ 250 = Unit digit zero .
then, dividing 250 by 2 we get,
→ 250 ÷ 2 = 125
now,
→ 125 = Unit digit five .
then, dividing 125 by 5 we get,
→ 125 ÷ 5 = 25
again,
→ 25 = Unit digit five .
then, dividing 25 by 5 we get,
→ 25 ÷ 5 = 5
finally,
→ 5 ÷ 5 = 1
therefore, expressing 250 as the product of prime factors :-
→ 250 = 2 × 5 × 5 × 5
hence,
→ Prime factors of 250 in ascending order are = 2, 5, 5, 5 Or, 2 and 5 .
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