List the prime factors of 2100
The prime factors of 2100 are:
2, 3, 5, 7
To find the prime factors of 2100, we'll follow these steps:
Step 1: Find the prime factors of the number
Step 2: List the prime factors
Let's begin:
Step 1: Find the prime factors of 2100:
2100 can be expressed as 2 * 2 * 3 * 5 * 5 * 7.
Step 2: List the prime factors:
The prime factors of 2100 are 2, 2, 3, 5, 5, and 7.
To find the prime factors of 2100, we need to find the prime numbers that divide 2100 evenly. Here's how you can do it:
1. Start by dividing 2100 by the smallest prime number, which is 2. If 2100 is divisible by 2, then 2 is one of the prime factors. Otherwise, move on to the next prime number.
2100 ÷ 2 = 1050
2. Now, divide the quotient 1050 by 2 again:
1050 ÷ 2 = 525
3. Continue dividing by 2 until you can no longer divide evenly:
525 ÷ 2 = 262.5 (not divisible evenly, move to the next prime)
4. The next prime number is 3. Divide the current quotient, 525, by 3:
525 ÷ 3 = 175
5. Continue dividing by 3 until you can no longer divide evenly:
175 ÷ 3 = 58.333 (not divisible evenly, move to the next prime)
6. The next prime number is 5. Divide the current quotient, 175, by 5:
175 ÷ 5 = 35
7. Finally, divide 35 by 5:
35 ÷ 5 = 7
Now, we can see that we have found all the prime factors. The prime factors of 2100 are 2, 2, 3, 5, and 7.