What Is The Prime Factorization Of 7425?

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Jeff W Profile
Jeff W answered
The first three prime numbers are 2, 3, 5. Since 7425 ends in a 5 an any number that ends in a 0 or a five is divisible by 5 take 7425 and ÷ by 5  = 1485. 1485 ÷ 5 = 297. Now things get harder. Since 297 isn't evenly divisible by 2, 2 won't work, but try 3 and that = 99. 99 will be easy to "Prime Factorization". You can see 9 goes into that and also 11. 9 × 11 = 99. So now 99 ÷ 11 = 9 and 9 ÷ 3 = 3 that leaves you 7425 ÷ 5 ÷ 5  ÷ 3  ÷ 11  ÷ 3  ÷ 3 = 1 leaves you with just prime numbers. To check your work take 11 × 5^2  × 3^3 and see what your answer is.

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