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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
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