Factors of 117 and 119

Use the form below to do your conversion, separate numbers by comma.

	Factors are	Factors of 117 =1, 3, 9, 13, 39, 117 Factors of 119 =1, 7, 17, 119 Equivalent to what goes into 119 what multiplies to 119 what makes 119 what numbers go into 119 numbers that multiply to 119 what can you multiply to get 119
		The real common factors of 117,119 is 1

Solution Factors are numbers that can divide without remainder. Factors of 117 117/1 = 117         gives remainder 0 and so are divisible by 1 117/3 = 39         gives remainder 0 and so are divisible by 3 117/9 = 13         gives remainder 0 and so are divisible by 9 117/13 = 9         gives remainder 0 and so are divisible by 13 117/39 = 3         gives remainder 0 and so are divisible by 39 117/117 = 1         gives remainder 0 and so are divisible by 117 Factors of 119 119/1 = 119         gives remainder 0 and so are divisible by 1 119/7 = 17         gives remainder 0 and so are divisible by 7 119/17 = 7         gives remainder 0 and so are divisible by 17 119/119 = 1         gives remainder 0 and so are divisible by 119

Converting to factors of 117,119

We get factors of 117,119 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 117,119 without remainders. So first number to consider is 1 and 117,119

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.

Instructions: Type the number you want to convert Separate more than 1 number with comma. Click on convert to factor

Other number conversions to consider

117  118  119  120  121  

119  120  121  122  123  

118  119  120  121  122  

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.