23. a) The prime factors of a number axe 7,
11, and 13. What is the number?
List -three other factors of the number that
are not prime.
The prime factors of the number are 7, 11, and 13. To find the number, we can multiply these prime factors together:
7 x 11 x 13 = 1001
Therefore, the number is 1001.
Three other factors of the number that are not prime are:
1) 13 x 77 = 1001
2) 11 x 91 = 1001
3) 7 x 143 = 1001
To find the number, we need to multiply the prime factors 7, 11, and 13 together.
7 x 11 x 13 = 1,001
So, the number is 1,001.
To find three other factors that are not prime, we can start by finding the prime factorization of 1,001.
1,001 = 7 x 11 x 13
Now, we can find the other factors by considering different combinations of these prime factors.
1,001 can be factored as follows:
1 x 1,001
7 x 143
11 x 91
13 x 77
77 x 13
91 x 11
143 x 7
1,001 x 1
From this, we can see that three other factors of 1,001 that are not prime are: 143, 91, and 77.
To find the number, we need to multiply its prime factors, which are 7, 11, and 13.
The number is calculated by multiplying the prime factors together:
7 * 11 * 13 = 1001
Therefore, the number is 1001.
To find three other factors of the number that are not prime, we can start by listing the factors of 1001 and excluding the prime factors we already know.
The factors of 1001 are: 1, 7, 11, 13, 77, 91, 143, and 1001.
We already know that 7, 11, and 13 are prime factors, so we can exclude them.
Three other factors of 1001 that are not prime are: 1, 77, and 91. These factors can be obtained by excluding the prime factors from the list of factors of 1001.