Factors of 19950,19953 and 19955
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Solution Factors are numbers that can divide without remainder. Factors of 19950 19950/1 = 19950 gives remainder 0 and so are divisible by 119950/2 = 9975 gives remainder 0 and so are divisible by 2 19950/3 = 6650 gives remainder 0 and so are divisible by 3 19950/5 = 3990 gives remainder 0 and so are divisible by 5 19950/6 = 3325 gives remainder 0 and so are divisible by 6 19950/7 = 2850 gives remainder 0 and so are divisible by 7 19950/10 = 1995 gives remainder 0 and so are divisible by 10 19950/14 = 1425 gives remainder 0 and so are divisible by 14 19950/15 = 1330 gives remainder 0 and so are divisible by 15 19950/19 = 1050 gives remainder 0 and so are divisible by 19 19950/21 = 950 gives remainder 0 and so are divisible by 21 19950/25 = 798 gives remainder 0 and so are divisible by 25 19950/30 = 665 gives remainder 0 and so are divisible by 30 19950/35 = 570 gives remainder 0 and so are divisible by 35 19950/38 = 525 gives remainder 0 and so are divisible by 38 19950/42 = 475 gives remainder 0 and so are divisible by 42 19950/50 = 399 gives remainder 0 and so are divisible by 50 19950/57 = 350 gives remainder 0 and so are divisible by 57 19950/70 = 285 gives remainder 0 and so are divisible by 70 19950/75 = 266 gives remainder 0 and so are divisible by 75 19950/95 = 210 gives remainder 0 and so are divisible by 95 19950/105 = 190 gives remainder 0 and so are divisible by 105 19950/114 = 175 gives remainder 0 and so are divisible by 114 19950/133 = 150 gives remainder 0 and so are divisible by 133 19950/150 = 133 gives remainder 0 and so are divisible by 150 19950/175 = 114 gives remainder 0 and so are divisible by 175 19950/190 = 105 gives remainder 0 and so are divisible by 190 19950/210 = 95 gives remainder 0 and so are divisible by 210 19950/266 = 75 gives remainder 0 and so are divisible by 266 19950/285 = 70 gives remainder 0 and so are divisible by 285 19950/350 = 57 gives remainder 0 and so are divisible by 350 19950/399 = 50 gives remainder 0 and so are divisible by 399 19950/475 = 42 gives remainder 0 and so are divisible by 475 19950/525 = 38 gives remainder 0 and so are divisible by 525 19950/570 = 35 gives remainder 0 and so are divisible by 570 19950/665 = 30 gives remainder 0 and so are divisible by 665 19950/798 = 25 gives remainder 0 and so are divisible by 798 19950/950 = 21 gives remainder 0 and so are divisible by 950 19950/1050 = 19 gives remainder 0 and so are divisible by 1050 19950/1330 = 15 gives remainder 0 and so are divisible by 1330 19950/1425 = 14 gives remainder 0 and so are divisible by 1425 19950/1995 = 10 gives remainder 0 and so are divisible by 1995 19950/2850 = 7 gives remainder 0 and so are divisible by 2850 19950/3325 = 6 gives remainder 0 and so are divisible by 3325 19950/3990 = 5 gives remainder 0 and so are divisible by 3990 19950/6650 = 3 gives remainder 0 and so are divisible by 6650 19950/9975 = 2 gives remainder 0 and so are divisible by 9975 19950/19950 = 1 gives remainder 0 and so are divisible by 19950 Factors of 19953 19953/1 = 19953 gives remainder 0 and so are divisible by 119953/3 = 6651 gives remainder 0 and so are divisible by 3 19953/9 = 2217 gives remainder 0 and so are divisible by 9 19953/27 = 739 gives remainder 0 and so are divisible by 27 19953/739 = 27 gives remainder 0 and so are divisible by 739 19953/2217 = 9 gives remainder 0 and so are divisible by 2217 19953/6651 = 3 gives remainder 0 and so are divisible by 6651 19953/19953 = 1 gives remainder 0 and so are divisible by 19953 Factors of 19955 19955/1 = 19955 gives remainder 0 and so are divisible by 119955/5 = 3991 gives remainder 0 and so are divisible by 5 19955/13 = 1535 gives remainder 0 and so are divisible by 13 19955/65 = 307 gives remainder 0 and so are divisible by 65 19955/307 = 65 gives remainder 0 and so are divisible by 307 19955/1535 = 13 gives remainder 0 and so are divisible by 1535 19955/3991 = 5 gives remainder 0 and so are divisible by 3991 19955/19955 = 1 gives remainder 0 and so are divisible by 19955 |
Converting to factors of 19950,19953,19955
We get factors of 19950,19953,19955 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 19950,19953,19955 without remainders. So first number to consider is 1 and 19950,19953,19955
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.