Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Find the prime factorization of 3210
3210 = 2 × 3 × 5 × 107
Find the prime factorization of 3528
3528 = 2 × 2 × 2 × 3 × 3 × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3
GCF = 6
ANSWER: 6
3210 = 2 × 3 × 5 × 107
Find the prime factorization of 3528
3528 = 2 × 2 × 2 × 3 × 3 × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3
GCF = 6
ANSWER: 6
9514 1404 393
Answer:
3210 = 2·3·5·107
3528 = 2³·3²·7²
Step-by-step explanation:
Divisibility rules help.
A number is divisible by 2 if it is even.
A number is divisible by 3 if the sum of digits is divisible by 3.
A number is divisible by 5 if it ends in 5 or 0.
A number is divisible by 7 if subtracting twice the 1s digit from the rest of the number results in a number divisible by 7.
3210
Even, and ends in 0, so is divisible by 2·5
3210/10 = 321
Sum of digits is 6, so is divisible by 3
321/3 = 107
None of the divisibility rules applies, and √107 ≈ 10.3, so there are no prime factors of 107.
3210 = 2·3·5·107
__
3528
Ends in 2 digits divisible by 4, so is divisible by 4
3528/4 = 882
Even, so is divisible by 2
882/2 = 441
Sum of digits is 9, so is divisible by 9
441/9 = 49
This is recognizable as the square of 7.
3528 = 2³·3²·7²
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
