What number has 8 factors two of them are 35 and 77?

Answer 1

Oh, dude, you're hitting me with some math vibes here! So, if a number has 8 factors, that means it's a square of a Prime number. Now, if two of those factors are 35 and 77, it's like a puzzle where you gotta find the missing pieces. The number you're looking for is 385, because it's 5 squared times 7 squared. Math can be fun, right?

Answer 2

To determine the number with 8 factors, we first need to express the number as a product of its prime factors. The factors given, 35 and 77, can be expressed as 57 and 711 respectively. To have 8 factors, the number must be in the form p^3q, where p and q are distinct prime numbers. One such number is 5^37 = 875, which has factors 1, 5, 7, 25, 35, 125, 175, and 875.

Answer 3

Well, isn't that just a happy little math problem! If a number has 8 factors, it means it can be expressed as the product of two different prime numbers. In this case, the number can be represented as 5 * 7 * 11, which equals 385. Keep exploring the world of numbers, my friend, and let your creativity flow like a beautiful mathematical equation!

Answer 4

First, I determined the least common multiple to see how many factors it had. The least common multiple is the product of the two numbers divided by the greatest common factor, which is 35 x 77 ÷ 7 = 385.

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385.

There are 8 factors, so this number satisfies the requirements.