(C) To find the prime factorization of $30$,we divide it by the smallest prime numbers:$30 = 2 \times 15$$15 = 3 \times 5$Therefore,$30 = 2 \times 3 \

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(C) To find the prime factorization of $30$,we divide it by the smallest prime numbers:$30 = 2 \times 15$$15 = 3 \times 5$Therefore,$30 = 2 \times 3 \times 5$.Since $2, 3,$ and $5$ are all prime numbers,the correct prime factorization is $2 \times 3 \times 5$.

Class 10 Mathematics Real Numbers Fundamental Theorem of Arithmetic

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The prime factorization of $30$ can be written as: $(A)$ $5 \times 6$,$(B)$ $10 \times 3$,$(C)$ $2 \times 3 \times 5$,$(D)$ $1 \times 30$

A
$5 \times 6$
B
$10 \times 3$
C
$2 \times 3 \times 5$
D
$1 \times 30$

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Real Numbers

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Fundamental Theorem of Arithmetic

Any odd positive integer $a$ is of the form . . . . . . ,where $m$ is an integer.

Medium

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Show that the square of any positive integer cannot be of the form $5q+2$ or $5q+3$ for any integer $q$.

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Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{15}{1600}$.

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$n^{2}-1$ is divisible by $8,$ if $n$ is

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From the given factor tree, find the values of $x$ and $y$ respectively, assuming $x$ branches into $2$ and $5$, and $y$ branches into $x$ and $2$.

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The prime factorization of $30$ can be written as: $(A)$ $5 \times 6$,$(B)$ $10 \times 3$,$(C)$ $2 \times 3 \times 5$,$(D)$ $1 \times 30$

Similar Questions

Any odd positive integer $a$ is of the form . . . . . . ,where $m$ is an integer.

Show that the square of any positive integer cannot be of the form $5q+2$ or $5q+3$ for any integer $q$.

Without actually performing the long division,state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion: $\frac{15}{1600}$.

$n^{2}-1$ is divisible by $8,$ if $n$ is

From the given factor tree, find the values of $x$ and $y$ respectively, assuming $x$ branches into $2$ and $5$, and $y$ branches into $x$ and $2$.

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