Question

. Express 3136 x 45 as product of prime factors.​

Answer 1

Answer:

2×2×2×2×2×2×7×7×3×3×5

Answer 2

$Expressing \: 3136 \times 45 \: product \: of \\ primes \:factors$

2 | 3136

________

2 | 1568

________

2 | 784

________

2 | 392

________

2 | 196

________

2 | 98

________

7 | 49

________

***** 7

and

3 | 45

_______

3 | 15

_______

****5

$3136 \times 45 \\=( 2^{6} \times 7^{2} ) \times ( 3^{2} \times 5 ) \\= 2^{6} \times 3^{2} \times 5 \times 7^{2}$

Therefore.,

$\red{ Required \: product \:of \: prime \:factors }\\\green { = 2^{6} \times 3^{2} \times 5 \times 7^{2}}$

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