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The number 13 is prime, and when its digits are reversed, 31 is also prime. Besides 13 and 31, how many other 2-digit primes also satisfy this condition?
The 7 other primes are 11, 17, 71, 37, 73, 79, and 97.
Writing 48 as a product of its prime factors gives:
\(
\text { Writing } 48 \text { as a product of its prime factors gives } 2 \times 2 \times 2 \times 2 \times 3 =2^4 \times 3
\)
Common prime factors of 256 and 156 are:
Prime factorisation of \(256=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\)
Prime factorisation of \(156=2 \times 2 \times 3 \times 13\)
The common prime factor of 256 and 156 is 2.
List the common factors of 152 and 76.
Prime factorisation of \(152=2 \times 2 \times 2 \times 19\)
Prime factorisation of \(76=2 \times 2 \times 19\)
The common prime factors of 152 and 76 are 2 and 19 .
Find the prime factorisation of 118724.
The prime factorisation of 118724 is 2 × 2 × 67 × 443.
Prime factorisation of 284 × Prime factorisation of 456 = Prime factorisation of (284 × 456). Is this true?
Prime factorisation of 284 = 2 × 2 × 71
Prime factorisation of 456 = 2 × 2 × 2 × 3 × 19
Prime factorisation of (283 × 456) = prime factorisation of 129504
= 2 × 2 × 2 × 2 × 2 × 3 × 19 × 71
Clearly,
Prime factorisation of 284 × Prime factorisation of 456 = Prime factorisation of (284 × 456).
List all the positive factors of 72.
The positive factors of 72 can be listed as 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
What is the Prime Factorization of 72?
\(
\text { Prime Factorization of } 72: 2 \times 2 \times 2 \times 3 \times 3 \text { or } 2^3 \times 3^2
\)
What is the common factors of 72 and 71?
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
The factors of 71 are 1 and 71.
Thus, the common factor of 72 and 71 is 1
How many prime factors of 72 are there?
The prime factors shown above (2, 2, 2, 3, and 3) are completely unique to 72. When we multiply all of them together the result will be 72 and this is what we call the product of prime factors of 72. The prime factor products of 72 are listed below:
2 x 2 x 2 x 3 x 3 = 72
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