Factors of 732 and 734

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

	Factors are	Factors of 732 =1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732 Factors of 734 =1, 2, 367, 734 Equivalent to what goes into 734 what multiplies to 734 what makes 734 what numbers go into 734 numbers that multiply to 734 what can you multiply to get 734
		The real common factors of 732,734 is 1, 2

Solution Factors are numbers that can divide without remainder. Factors of 732 732/1 = 732         gives remainder 0 and so are divisible by 1 732/2 = 366         gives remainder 0 and so are divisible by 2 732/3 = 244         gives remainder 0 and so are divisible by 3 732/4 = 183         gives remainder 0 and so are divisible by 4 732/6 = 122         gives remainder 0 and so are divisible by 6 732/12 = 61         gives remainder 0 and so are divisible by 12 732/61 = 12         gives remainder 0 and so are divisible by 61 732/122 = 6         gives remainder 0 and so are divisible by 122 732/183 = 4         gives remainder 0 and so are divisible by 183 732/244 = 3         gives remainder 0 and so are divisible by 244 732/366 = 2         gives remainder 0 and so are divisible by 366 732/732 = 1         gives remainder 0 and so are divisible by 732 Factors of 734 734/1 = 734         gives remainder 0 and so are divisible by 1 734/2 = 367         gives remainder 0 and so are divisible by 2 734/367 = 2         gives remainder 0 and so are divisible by 367 734/734 = 1         gives remainder 0 and so are divisible by 734

Converting to factors of 732,734

We get factors of 732,734 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 732,734 without remainders. So first number to consider is 1 and 732,734

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

732  733  734  735  736  

734  735  736  737  738  

733  734  735  736  737  

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.