Factors of 3017,3020 and 3022
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Solution Factors are numbers that can divide without remainder. Factors of 3017 3017/1 = 3017 gives remainder 0 and so are divisible by 13017/7 = 431 gives remainder 0 and so are divisible by 7 3017/431 = 7 gives remainder 0 and so are divisible by 431 3017/3017 = 1 gives remainder 0 and so are divisible by 3017 Factors of 3020 3020/1 = 3020 gives remainder 0 and so are divisible by 13020/2 = 1510 gives remainder 0 and so are divisible by 2 3020/4 = 755 gives remainder 0 and so are divisible by 4 3020/5 = 604 gives remainder 0 and so are divisible by 5 3020/10 = 302 gives remainder 0 and so are divisible by 10 3020/20 = 151 gives remainder 0 and so are divisible by 20 3020/151 = 20 gives remainder 0 and so are divisible by 151 3020/302 = 10 gives remainder 0 and so are divisible by 302 3020/604 = 5 gives remainder 0 and so are divisible by 604 3020/755 = 4 gives remainder 0 and so are divisible by 755 3020/1510 = 2 gives remainder 0 and so are divisible by 1510 3020/3020 = 1 gives remainder 0 and so are divisible by 3020 Factors of 3022 3022/1 = 3022 gives remainder 0 and so are divisible by 13022/2 = 1511 gives remainder 0 and so are divisible by 2 3022/1511 = 2 gives remainder 0 and so are divisible by 1511 3022/3022 = 1 gives remainder 0 and so are divisible by 3022 |
Converting to factors of 3017,3020,3022
We get factors of 3017,3020,3022 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 3017,3020,3022 without remainders. So first number to consider is 1 and 3017,3020,3022
Getting factors is done by diving the number with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.
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Other number conversions to consider
Factors are the numbers you multiply to get another number. For instance, the factors of 25 are 5 and 5, because 5×5 = 25. Some numbers have more than one factorization (more than one way of being factored). For instance, 12 can be factored as 1×12, 2×6, or 3×4. A number that can only be factored as 1 times itself is called "prime". The first few primes are 2, 3, 5, 7, 11, and 13. The number 1 is not regarded as a prime, and is usually not included in factorizations, because 1 goes into everything. (The number 1 is a bit boring in this context, so it gets ignored.
By the way, there are some divisibility rules that can help you find the numbers to divide by. There are many divisibility rules, but the simplest to use are these: If the number is even, then it's divisible by 2. If the number's digits sum to a number that's divisible by 3, then the number itself is divisible by 3. If the number ends with a 0 or a 5, then it's divisible by 5.
Of course, if the number is divisible twice by 2, then it's divisible by 4; if it's divisible by 2 and by 3, then it's divisible by 6; and if it's divisible twice by 3 (or if the sum of the digits is divisible by 9), then it's divisible by 9. But since you're finding the factorization, you don't really care about these non-prime divisibility rules. There is a rule for divisibility by 7, but it's complicated enough that it's probably easier to just do the division on your calculator and see if it comes out even.
If you run out of small numbers and you are not done factoring, then keep trying bigger and bigger whole numbers (9, 14, 17, 20, 23, etc) until you find number that can divide without remainder. For example, 13 is a factor of 52 because 13 divides exactly into 52 (52 ÷ 13 = 4 leaving no remainder). The complete list of factors of 52 is: 1, 2, 4, 13, 26, and 52 (all these divide exactly into 52). If your number doesn't divide in, then the only potential divisors are bigger numbers. Since the square of your number is bigger than the number.