Answer:
Standard factor form of the integer : 15400 = 2³ × 5² × 7 × 11
Step-by-step explanation:
According to the unique factorization theorem, a given integer n (where, n>1), either is a prime number or can be represented as the product of the prime numbers.
Firstly, it is checked that the given integer is divisible by the smallest prime number 2 . If the integer is not divisible by 2, then the integer is checked for the next prime number 3 and then checked for 5 and so on until the remaining integers are prime numbers.
So, the standard factored form of the integer:
15400 = 2 × 770
15400 = 2 × 2 × 3850
15400 = 2 × 2 × 2 × 1925
15400 = 2 × 2 × 2 × 5 × 385
15400 = 2 × 2 × 2 × 5 × 5 × 77
15400 = 2 × 2 × 2 × 5 × 5 × 7 × 11
or,
15400 = 2³ × 5² × 7 × 11
Therefore, the standard factor form of the integer: 15400 = 2³ × 5² × 7 ×11
