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Kuta Software - Infinite Pre-Algebra Name___________________________________ Factoring Monomials Date________________ Period____ Write the prime factorization of each. Do not use exponents. 1) 25n 2 2) 18 xy 3) 12a 4) 21 y 2 5) 81a 6) 92q 7) 36 x 3 8) 24h 9) 48 x 2 10) 92 xy 11) 18 x 2 12) 50 x Write the prime-power factorization of each. 13) 16 y 14) 28 y 15) 8v 16) 18 xy 17) 10 y 2 18) 20b 2 19) 21 x 2 20) 77 y 21) 84ab 22) 78a 3 23) 52uv 24) 66 y 25) 82ab 26) 26 x 2 Kuta Software - Infinite Pre-Algebra Name___________________________________ Factoring Monomials Date________________ Period____ Write the prime factorization of each. Do not use exponents. 1) 25n 2 5⋅5⋅n⋅n 3) 12a 2⋅2⋅3⋅a 5) 81a 3⋅3⋅3⋅3⋅a 7) 36 x 3 2⋅2⋅3⋅3⋅x⋅x⋅x 9) 48 x 2 2⋅2⋅2⋅2⋅3⋅x⋅x 11) 18 x 2 2⋅3⋅3⋅x⋅x 2) 18 xy 2⋅3⋅3⋅x⋅ y 4) 21 y 2 3⋅7⋅ y⋅ y 6) 92q 2 ⋅ 2 ⋅ 23 ⋅ q 8) 24h 2⋅2⋅2⋅3⋅h 10) 92 xy 2 ⋅ 2 ⋅ 23 ⋅ x ⋅ y 12) 50 x 2⋅5⋅5⋅x Write the prime-power factorization of each. 13) 16 y 14) 28 y 4 2 2 ⋅y 2 ⋅7⋅ y 15) 8v 16) 18 xy 23 ⋅ v 2 ⋅ 32 ⋅ x ⋅ y 17) 10 y 2 18) 20b 2 2 ⋅ 5 ⋅ y2 19) 21 x 2 3⋅7⋅x 22 ⋅ 5 ⋅ b2 20) 77 y 2 21) 84ab 22 ⋅ 3 ⋅ 7 ⋅ a ⋅ b 23) 52uv 2 2 ⋅ 13 ⋅ u ⋅ v 25) 82ab 2 ⋅ 41 ⋅ a ⋅ b 7 ⋅ 11 ⋅ y 22) 78a 3 2 ⋅ 3 ⋅ 13 ⋅ a 3 24) 66 y 2 ⋅ 3 ⋅ 11 ⋅ y 26) 26 x 2 2 ⋅ 13 ⋅ x 2