Factors of 6998 and 7000

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

	Factors are	Factors of 6998 =1, 2, 3499, 6998 Factors of 7000 =1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000 Equivalent to what goes into 7000 what multiplies to 7000 what makes 7000 what numbers go into 7000 numbers that multiply to 7000 what can you multiply to get 7000
		The real common factors of 6998,7000 is 1, 2

Solution Factors are numbers that can divide without remainder. Factors of 6998 6998/1 = 6998         gives remainder 0 and so are divisible by 1 6998/2 = 3499         gives remainder 0 and so are divisible by 2 6998/3499 = 2         gives remainder 0 and so are divisible by 3499 6998/6998 = 1         gives remainder 0 and so are divisible by 6998 Factors of 7000 7000/1 = 7000         gives remainder 0 and so are divisible by 1 7000/2 = 3500         gives remainder 0 and so are divisible by 2 7000/4 = 1750         gives remainder 0 and so are divisible by 4 7000/5 = 1400         gives remainder 0 and so are divisible by 5 7000/7 = 1000         gives remainder 0 and so are divisible by 7 7000/8 = 875         gives remainder 0 and so are divisible by 8 7000/10 = 700         gives remainder 0 and so are divisible by 10 7000/14 = 500         gives remainder 0 and so are divisible by 14 7000/20 = 350         gives remainder 0 and so are divisible by 20 7000/25 = 280         gives remainder 0 and so are divisible by 25 7000/28 = 250         gives remainder 0 and so are divisible by 28 7000/35 = 200         gives remainder 0 and so are divisible by 35 7000/40 = 175         gives remainder 0 and so are divisible by 40 7000/50 = 140         gives remainder 0 and so are divisible by 50 7000/56 = 125         gives remainder 0 and so are divisible by 56 7000/70 = 100         gives remainder 0 and so are divisible by 70 7000/100 = 70         gives remainder 0 and so are divisible by 100 7000/125 = 56         gives remainder 0 and so are divisible by 125 7000/140 = 50         gives remainder 0 and so are divisible by 140 7000/175 = 40         gives remainder 0 and so are divisible by 175 7000/200 = 35         gives remainder 0 and so are divisible by 200 7000/250 = 28         gives remainder 0 and so are divisible by 250 7000/280 = 25         gives remainder 0 and so are divisible by 280 7000/350 = 20         gives remainder 0 and so are divisible by 350 7000/500 = 14         gives remainder 0 and so are divisible by 500 7000/700 = 10         gives remainder 0 and so are divisible by 700 7000/875 = 8         gives remainder 0 and so are divisible by 875 7000/1000 = 7         gives remainder 0 and so are divisible by 1000 7000/1400 = 5         gives remainder 0 and so are divisible by 1400 7000/1750 = 4         gives remainder 0 and so are divisible by 1750 7000/3500 = 2         gives remainder 0 and so are divisible by 3500 7000/7000 = 1         gives remainder 0 and so are divisible by 7000

Converting to factors of 6998,7000

We get factors of 6998,7000 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 6998,7000 without remainders. So first number to consider is 1 and 6998,7000

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

6998  6999  7000  7001  7002  

7000  7001  7002  7003  7004  

6999  7000  7001  7002  7003  

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.