Question

Express the number 7875 as the product of prime factors.

Answer 1

$\bf\huge \pink{ANSWER-}$

$\large\text\green{Product of Prime Factors of 7875}$

• Following are all the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 7875.

$\sf{ = > 7875 ÷ 3 = 2625}$

$\sf{ = > 2625 ÷ 3 = 875}$

$\sf{ = > 875 ÷ 5 = 175 }$

$\sf{ = > 175 ÷ 5 = 35}$

$\sf{ = > 35 ÷ 5 = 7}$

$\sf{ = > 7 ÷ 7 = 1}$

$\large\text \purple{ Thus, the Prime Factors of 7875 are}$

$\sf{ = > 3, 3, 5, 5, 5, 7.}$

$\large\text \purple{Written in exponential form:}$

$\sf{ = > 3² \times \: 5³ \: \times 7¹}$

$\large\text\blue{The Product of Prime Factors of 7875 is:}$

$\large\boxed{3 × 3 × 5 × 5 × 5 × 7 = 7875 }$

Answer 2

Step-by-step explanation:

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