### How do you get the gcf of 36 and 210?

First, you make a factor tree for both 36 and 210 and find the prime factorization of both numbers. 36: 2x2x3x3 210:2x3x5x7 Then, you circle the numbers that appear in both factorizations. (I'll make them bold.) 36: 2x3x2x3 210: 2x3x5x7 Lastly, you multiply the 2 numbers that you circled together (only one pair of the 2 numbers; don't multiply 2x3x2x3, just 2x3). 2x3=6. The GCF of 36 and 210 is 6.

### What numbers add to -23 and multiply to 210?

If the two numbers are x & y, then x*y = 210, and x + y = -23. From the 2nd equation, let y = -23 - x, then substitute into first: x*(-23 - x) = 210, then expand: -23*x - xÂ² = 210, rearrange: xÂ² + 23*x + 210 = 0, using the quadratic formula, we can see that the solution is complex : square root of [23Â² - 4*210] = sqrt(-311). So there…

### How do you find the factorization of any number?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of…

### What r some that can be divided in to 3 different prime numbers?

Only 1 and -1 can be divided into prime numbers, but if you meant what are some numbers that can be divided by 3 prime numbers, here are a few: 30, 42, 66, 70, 78, 102, 105, 110, 114, 130, 138, 154, 165, 170, ... there are infinitely many of these... Still others like 60 or 315 which are divisible by three primes, but have more of the same prime factor. And still others like…