The prime factorization of 156 is 2^2 x 3 x 13. This means that 156 can be expressed as the product of these prime numbers. To find the prime factorization, you would first divide 156 by the smallest Prime number, 2, then continue dividing by prime numbers until you reach the prime factorization.
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To find the prime factorization of a number, it helps to divide it by any obvious factors. In this case, 156 is even so we can divide by 2. Do this and we get 78, which is also even. Divide by 2 again and we get 39, which is divisible by 3. Do that and we get 13 which is prime. Thus the prime factorization of 156 is 2x2x3x13. If we want to use exponents this can be written as 22x3x13
Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156 Prime Factorization of 156: 2 x 2 x 3 x 13
156 = 2 * 78 = 2 * 2 * 39 = 2 * 2 * 3 * 13
The prime factorization is... 2x2x2x2x2x5x5
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?