Video Transcript
Factor the given numbers into the prime factors by completing the figure below.
So here, we have the number 935 and we want to know what are the prime factors. First, the factors will be the numbers that multiply to each other to equal 935. So what does it mean that they must be prime.
In order to be prime, a number must only be divisible by itself and one. And they’ve actually already given us one of the prime factors. 935 is equal to five times some other numbers we don’t know. And we know five is prime because it’s only divisible by five and one, itself and one.
But we can solve for the rest of the factors. We can take 935 and divide by five. And we get 187. So what would be another prime number that would go into 187? After trying out a few numbers, 17. So 187 divided by 17 is equal to 11. So what is 11 divisible by? Well, it’s only divisible by 11 and one. So it’s actually prime.
So we had factors of five. And then after we took five out of that number, 17 was able to be taken out. And once 17 was taken out, we were left with a prime number, 11.
So 935 is equal to five times 17 times 11. So this will be our final answer.
