Prime numbers don't need factorizations. That eliminates 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137 and 139. The rest are:
2 x 2 = 4
2 x 3 = 6
2 x 2 x 2 = 8
3 x 3 = 9
2 x 5 = 10
2 x 2 x 3 = 12
2 x 7 = 14
3 x 5 = 15
2 x 2 x 2 x 2 = 16
2 x 3 x 3 = 18
2 x 2 x 5 = 20
3 x 7 = 21
2 x 11 = 22
2 x 2 x 2 x 3 = 24
5 x 5 = 25
2 x 13 = 26
3 x 3 x 3 = 27
2 x 2 x 7 = 28
2 x 3 x 5 = 30
2 x 2 x 2 x 2 x 2 = 32
3 x 11 = 33
2 x 17 = 34
5 x 7 = 35
2 x 2 x 3 x 3 = 36
2 x 19 = 38
3 x 13 = 39
2 x 2 x 2 x 5 = 40
2 x 3 x 7 = 42
2 x 2 x 11 = 44
3 x 3 x 5 = 45
2 x 23 = 46
2 x 2 x 2 x 2 x 3 = 48
7 x 7 = 49
2 x 5 x 5 = 50
3 x 17 = 51
2 x 2 x 13 = 52
2 x 3 x 3 x 3 = 54
5 x 11 = 55
2 x 2 x 2 x 7 = 56
3 x 19 = 57
2 x 29 = 58
2 x 2 x 3 x 5 = 60
2 x 31 = 62
3 x 3 x 7 = 63
2 x 2 x 2 x 2 x 2 x 2 = 64
5 x 13 = 65
2 x 3 x 11 = 66
2 x 2 x 17 = 68
3 x 23 = 69
2 x 5 x 7 = 70
2 x 2 x 2 x 3 x 3 = 72
2 x 37 = 74
3 x 5 x 5 = 75
2 x 2 x 19 = 76
7 x 11 = 77
2 x 3 x 13 = 78
2 x 2 x 2 x 2 x 5 = 80
3 x 3 x 3 x 3 = 81
2 x 41 = 82
2 x 2 x 3 x 7 = 84
5 x 17 = 85
2 x 43 = 86
3 x 29 = 87
2 x 2 x 2 x 11 = 88
2 x 3 x 3 x 5 = 90
7 x 13 = 91
2 x 2 x 23 = 92
3 x 31 = 93
2 x 47 = 94
5 x 19 = 95
2 x 2 x 2 x 2 x 2 x 3 = 96
2 x 7 x 7 = 98
3 x 3 x 11 = 99
2 x 2 x 5 x 5 = 100
2 x 3 x 17 = 102
2 x 2 x 2 x 13 = 104
3 x 5 x 7 = 105
2 x 53 = 106
2 x 2 x 3 x 3 x 3 = 108
2 x 5 x 11 = 110
2 x 2 x 2 x 2 x 7 = 112
2 x 3 x 19 = 114
5 x 23 = 115
2 x 2 x 29 = 116
3 x 3 x 13 = 117
2 x 59 = 118
7 x 17 = 119
2 x 2 x 2 x 3 x 5 = 120
11 x 11 = 121
2 x 61 = 122
3 x 41 = 123
2 x 2 x 31 = 124
5 x 5 x 5 = 125
2 x 3 x 3 x 7 = 126
2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
3 x 43 = 129
2 x 5 x 13 = 130
2 x 2 x 3 x 11 = 132
7 x 19 = 133
2 x 67 = 134
3 x 3 x 3 x 5 = 135
2 x 2 x 2 x 17 = 136
2 x 3 x 23 = 138
2 x 2 x 5 x 7 = 140
3 x 47 = 141
2 x 71 = 142
11 x 13 = 143
2 x 2 x 2 x 2 x 3 x 3 = 144
That's finding the prime factorization.
A prime factorization
That's the prime factorization.
That's a prime factorization.
The longest factor string is the prime factorization
When all the factors are prime numbers, that's a prime factorization.
That's the prime factorization.
Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.
The prime factorization.
Prime factorization is when you find all the prime factors of a number.
The prime factorization.
Every member of that infinite list is different.
No a prime number can only be divided by 1 and itself. 144 is an even number, all even number can be divided by 2 (144/2=72) so no even numbers can be prime numbers.
To find the prime factors of 144, you can do a prime factorization" 2 x 72 = 144 2 x 2 x 36 2 x 2 x 2 x 18 2 x 2 x 2 x 2 x 9 2 x 2 x 2 x 2 x 3 x 3 = 144 This is the prime factorization of 144 because all factors are prime numbers.
After making sure all the numbers are prime, multiply them together. If you get your original number, the prime factorization is correct.
That's a prime factorization.
Prime factorization