Find the common factors of- 10 pq- 20qr- 30 rp - Maths Q-A

Find the common factor:Factors of 10pq10pq=2× 5× p× qFactors of 20qr20qr=2× 2× 5× r× qFactors of 20qr30rp=2× 3× 5× r× pTherefore the common factors of:10pq, 20q ...

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Standard VIII

Mathematics

Factorisation by Common Factors

Find the comm...

Question

Find the common factors of: $10 p q, 20 q r, 20 r p$

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Solution

Find the common factor:
Factors of $10 p q$
$10 p q = 2 \times 5 \times p \times q$
Factors of $20 q r$
$20 q r = 2 \times 2 \times 5 \times r \times q$
Factors of $20 q r$
$30 r p = 2 \times 3 \times 5 \times r \times p$
Therefore the common factors of: $10 p q, 20 q r, 20 r p$ are $2$ and $5$
$∴ 2 \times 5 = 10$
Hence, the common factor is $10$ .

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Similar questions

Find the common factors of the terms

(i) $12 x, 36$

(ii) $2 y, 22 x y$

(iii) $14 p q, 28 p^{2} q^{2}$

(iv) $2 x, 3 x^{2}, 4$

(v) $6 a b c, 24 a b^{2}, 12 a^{2} b$

(vi) $16 x^{3}, - 4 x^{2}, 32 x$

(vii) $10 p q, 20 q r, 30 r p$

(viii) $3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z$

Q. Find the common factors of the given terms.
(i)

12 x, 36

(ii)

2 y, 22 x y

(iii)

14 p q, 28 p^{2} q^{2}

(iv)

2 x, 3 x^{2}, 4

(v)

6 a b c, 24 a b^{2}, 12 a^{2} b

(vi)

16 x^{3}, - 4 x^{2}, 32 x

(vii)

10 p q, 20 q r, 30 r p

(viii)

3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z

Q. Find the common factors of the given terms

10 p q, 20 q r, 30 r p

Q. Find the common factor of

10 P Q, 20 Q R and 30 R P .

Q. Find the common factors of the given terms:

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Find the common factors of:10pq,20qr,20rp

Find the common factor:Factors of 10pq10pq=2×5×p×qFactors of 20qr20qr=2×2×5×r×qFactors of 20qr30rp=2×3×5×r×pTherefore the common factors of:10pq,20qr,20rp are 2 and 5∴2×5=10Hence, the common factor is 10.

Find the common factors of: $10 p q, 20 q r, 20 r p$