Factors of 7001,7004 and 7006

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

	Factors are	Factors of 7001 =1, 7001 Factors of 7004 =1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004 Factors of 7006 =1, 2, 31, 62, 113, 226, 3503, 7006 Equivalent to what goes into 7006 what multiplies to 7006 what makes 7006 what numbers go into 7006 numbers that multiply to 7006 what can you multiply to get 7006
		The real common factors of 7001,7004,7006 is 1

Solution Factors are numbers that can divide without remainder. Factors of 7001 7001/1 = 7001         gives remainder 0 and so are divisible by 1 7001/7001 = 1         gives remainder 0 and so are divisible by 7001 Factors of 7004 7004/1 = 7004         gives remainder 0 and so are divisible by 1 7004/2 = 3502         gives remainder 0 and so are divisible by 2 7004/4 = 1751         gives remainder 0 and so are divisible by 4 7004/17 = 412         gives remainder 0 and so are divisible by 17 7004/34 = 206         gives remainder 0 and so are divisible by 34 7004/68 = 103         gives remainder 0 and so are divisible by 68 7004/103 = 68         gives remainder 0 and so are divisible by 103 7004/206 = 34         gives remainder 0 and so are divisible by 206 7004/412 = 17         gives remainder 0 and so are divisible by 412 7004/1751 = 4         gives remainder 0 and so are divisible by 1751 7004/3502 = 2         gives remainder 0 and so are divisible by 3502 7004/7004 = 1         gives remainder 0 and so are divisible by 7004 Factors of 7006 7006/1 = 7006         gives remainder 0 and so are divisible by 1 7006/2 = 3503         gives remainder 0 and so are divisible by 2 7006/31 = 226         gives remainder 0 and so are divisible by 31 7006/62 = 113         gives remainder 0 and so are divisible by 62 7006/113 = 62         gives remainder 0 and so are divisible by 113 7006/226 = 31         gives remainder 0 and so are divisible by 226 7006/3503 = 2         gives remainder 0 and so are divisible by 3503 7006/7006 = 1         gives remainder 0 and so are divisible by 7006

Converting to factors of 7001,7004,7006

We get factors of 7001,7004,7006 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 7001,7004,7006 without remainders. So first number to consider is 1 and 7001,7004,7006

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

7001  7002  7003  7004  7005  

7003  7004  7005  7006  7007  

7002  7003  7004  7005  7006  

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.