To find the prime factorization of 90, start with the lowest Prime number that will divide into 90. That number is 2. 2 times 45 equals 90. 2 is a number in the prime factorization of 90. Next, find the lowest prime number that will divide into 45. The number is 3, and 3 times15 equals 45. 3 is one of the prime factors, so now you have 2 times 3 times 15. 15 is not a prime number, and the lowest prime number that will divide into 15. 3 times 5 is 15. You'll notice that both 3 and 5 are prime numbers, so the prime factorization of 90 is 2 X 3 X 3 X 5. Check your answer to make sure it is correct and you're done.
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The prime factorization of 90 is 2*3*3*5
You can also factor 90 by finding its square root, which is 3(square root of 10). This answer comes from breaking up the square root of 90 into the square root of 9 x the square root of 10; the square root of 9 is 3, giving you 3(square root of 10)
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Reason 2 X 5 X 9 is Not Prime Factorization of 90The reason 2 X 5 X 9 is not the prime factorization of 90 is that 9 is not a prime number. 3 X 3 is 9, so the prime factorization of 90 is 2 X 3 X 3 X 5.
2 x 3 x 3 x 5 = 90
Ronald is correct, as 2x3x3x5 = 6x3x5 = 18x5 = 90. Ronald would have also been correct to put 2x32x5. Donald is incorrect, as 32x5 = 3x3x5 = 9x5 = 45.
113 is already prime. No factorization.