Express each of the following as the product of its prime factors (a) 6435 (b) 8085 (c) 2184
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Prime factors are prime numbers that are the factors of multiplication. Prime numbers are numbers that can only be divided by 1 or itself.
6435 ÷ 3 = 2145
2145 ÷ 3 = 715
715 ÷ 5 = 143
143 ÷ 11 = 13 ⇒ 3 x 3 x 5 x 11 x 13 = 6435
8085 ÷ 3 = 2695
2695 ÷ 5 = 539
539 ÷ 7 = 77
77 ÷ 7 = 11 ⇒ 3 x 5 x 7 x 7 x 11 = 8085
2184 ÷ 2 = 1092
1092 ÷ 2 = 546
546 ÷ 2 = 273
273 ÷ 3 = 91
91 ÷ 7 = 13 ⇒ 2 x 2 x 2 x 3 x 7 x 13 = 2184
6435 ÷ 3 = 2145
2145 ÷ 3 = 715
715 ÷ 5 = 143
143 ÷ 11 = 13 ⇒ 3 x 3 x 5 x 11 x 13 = 6435
8085 ÷ 3 = 2695
2695 ÷ 5 = 539
539 ÷ 7 = 77
77 ÷ 7 = 11 ⇒ 3 x 5 x 7 x 7 x 11 = 8085
2184 ÷ 2 = 1092
1092 ÷ 2 = 546
546 ÷ 2 = 273
273 ÷ 3 = 91
91 ÷ 7 = 13 ⇒ 2 x 2 x 2 x 3 x 7 x 13 = 2184
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