Question

prime factors of 1057 by LCM method​

Answer 1

Step-by-step explanation:

Prime Factorization of 1049

1049 1049

1

Prime factors of 1049 are 1049. Prime factorization of 1049 in exponential form is:

1049 = 10491

Prime Factorization of 1057

7 1057

151 151

1

Prime factors of 1057 are 7,151. Prime factorization of 1057 in exponential form is:

1057 = 71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1049 and 1057.

LCM(1049,1057) = 71×1511×10491

LCM(1049,1057) = 1108793

Factors of 1049

List of positive integer factors of 1049 that divides 1049 without a remainder.

1, 1049

Factors of 1057

List of positive integer factors of 1057 that divides 1057 without a remainder.

1, 7, 151, 1057

Answer 2

$\huge\bf\pink{Answer}$ 

The process of finding the Prime Factors of 1057 is called Prime Factorization of 1057. To get the Prime Factors of 1057, you divide 1057 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1.

This Prime Factorization process creates what we call the Prime Factor Tree of 1057. All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 1057. Here is the math to illustrate:

1057 ÷ 7 = 151

151 ÷ 151 = 1

Again, all the prime numbers you used to divide above are the Prime Factors of 1057. Thus, the Prime Factors of 1057 are:

7 and 151.