Question

Find the prime factorisation of the following
(i) 2730
(ii) 860​

Answer 1

Answer:

2730=2 x 3 x 5 x 7 x 13

860=2×2×5×43

Answer 2

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$\LARGE{\underline{\underline{\tt{Question:-}}}}$

Find the prime factorisation of the following:

• 2730
• 860

$\huge{\underline{\underline{\tt{Solution:-}}}}$

$\large\underline{\boxed{\sf{i)\:2730}}}$

$\Large{ \begin{array}{c|c} \tt 5 & \sf{2730} \\ \cline{1-2} \tt 7 & \sf {546} \\ \cline{1-2} \tt 3 & \sf{78} \\ \cline{1-2} \tt 13 & \sf{26} \\ \cline{1-2} \tt & \sf{2} \end{array}}$

• 2730 = 5 × 7 × 3 × 13 × 2

$\large\underline{\boxed{\sf{i)\:860}}}$

$\Large{ \begin{array}{c|c} \tt 5 & \sf{860} \\ \cline{1-2} \tt 2 & \sf {172} \\ \cline{1-2} \tt 2 & \sf{86} \\ \cline{1-2} \tt & \sf{43} \end{array}}$

• 860 = 5 × 2 × 2 × 43

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$\Large{\underline{\bold{Note:-}}}$

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$\Large{\boxed{\mathrm{\green{MATH\:\:FLASH}}}}$

• The number $\large{\bold{\red{{9}^{ {9}^{9}}}}}$ is considered a very interesting number.

$\rightarrow$ It's because, ninth power of the ninth power of nine is the largest in the world of numbers that can be expressed with just 3 digits.

$\rightarrow$No one has been able to compute this yet.

$\rightarrow$The answer to this number will contain 369 million digits.

$\rightarrow$To read it normally, it would take more than a year.

$\rightarrow$To write down the answer, we would require approximately 1,164 miles of paper.

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