4th grade / Multiply + Divide / Prime factors / Prime factors
Prime numbers are special numbers that can only be divided by 1 and the number itself without leaving a remainder. In other words, they have exactly two factors. So the number 3 is a prime number because it is divisible only by 3 and 1. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, and 19. Many numbers are not prime, they are composite numbers - numbers that have more than two factors. These numbers can be divided by different numbers, not just 1 and themselves. For example, 4 can be divided by 1, 2, and 4.
Prime factorization is a way to break down a composite number into smaller pieces that are all prime numbers. These smaller prime numbers are called "prime factors". To work out the prime factors of a number, start with the smallest prime number, 2, and see if it divides the given number without leaving a remainder. If it does, write down the number 2 and the result of the division. If it doesn't, move on to the next smallest prime number, 3, and try again. Repeat this process until you've found all the prime factors.
What are the prime factors of 10?
The prime factors of 10 are 2, 5
What are the prime factors of 60?
60 can be divided by 2 without leaving a remainder: 60 ÷ 2 = 30. Write down 2 and 30.
Now, check if the result (30) can be divided by 2 without leaving a remainder: 30 ÷ 2 = 15. It can, so write down 2 and 15.
The result (15) cannot be divided by 2, so move on to the next smallest prime number, 3. Check if 15 can be divided by 3 without leaving a remainder: 15 ÷ 3 = 5. It can, so write down 3 and 5.
The result (5) is a prime number, so we've found all the prime factors:
The prime factors of 60 are 2, 3, 5
In this topic you are asked to find the prime factors of numbers from 6 to 100.
With our quick math tests you will be revising "Prime factors" in 2 simple steps. The math in our tests consists of 16 questions that ask you to identify the prime factors of numbers up to 105.
These math tests are designed to round off your learning experience here at Free Math Games by testing whether you can correctly recognize the math you have learned (in the multiple choice test) and that you can correctly enter the correct answers (in the writing test).
Make sure you have chosen the correct topic before starting! Although these tests are timed, try to relax and concentrate on getting the answers right at first - later you can try the tests again more quickly.
The two types of tests are:
Key features of our math tests include:
You should expect to score 8+ / 10 in each test before you select a new topic. It is a good idea to repeat the test for each topic you do after two weeks to "reinforce" the math for that topic
UXO * Duck shoot * The frog flies * Pong * Cat and mouse * The beetle and the bee
Rock fall * Four in a row * Sow grow * Choose or lose * Mix and match
This is a multiple choice activity similar to "What is it" in the Math lessons - you are shown a randomly selected question from the topic you are using. A selection of topic answers are displayed as a list. If you click/tap the speaker beside any answer you will hear the audio for that answer.
For each question, you must click on the answer that matches that question. If your answer is correct you will hear a bell and one star will be lit. The next question will be shown. If your answer is wrong, a box will open showing you what the correct answer was.
The test is timed, and the clock starts when you click the Start button. The clock stops when you click your final answer. At the end of your test a screen will tell you how many of the questions you got right and how long you took to complete the test.
The writing test checks whether you can type the correct answer using your keyboard. This test is also timed. You can do the test many times until you get a good score. To start the test, click on the "Writing test" sign in the navigation board, then click on the "Start the test" arrow.
A random problem from your selected topic is shown. Beneath the problem there is a white box into which you should type the answer. If you need a little help you can click on the "Help me" button for a tip. Only use the help if you really need to.
If you type the answer correctly your device will automatically light a star. If you have entered your answer and no star lights up, click on the tick or press Enter to check your answer. When you have tried all the questions, a screen will show you how many questions you answered correctly and how long it took.
* Try to score 8 out of 10 in both test before you choose a new topic *
* It is OK to do the tests many times if you need to *
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