Answer
$2\times3\times5\times7$
Work Step by Step
A number is prime if it has only two factors: 1 and itself.
We know that the factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.
2 is a prime number, so we can divide 210 by 2
$210\div2=105$
The factors of 105 are 1, 3, 5, 7, 15, 21, 35, and 105. Since 3 is a prime number, divide by 3.
$105\div3=35$
The factors of 35 are 1, 5, 7 and 35. Since 5 is a prime number, divide by 5.
$35\div5=7$
7 is also a prime number
Therefore, the prime factorization of 210 is $2\times3\times5\times7$.
