Express 100 as a product of factor using factor tree
To express 100 as a product of factors using a factor tree, we start by writing down the number 100. Then, we find a pair of factors of 100, meaning two numbers that multiply to give 100. One such pair is 10 and 10, so we can write 100 as 10 * 10.
Since 10 is not a prime number, we further break it down into its factors. The factors of 10 are 2 and 5, so we can rewrite 10 as 2 * 5.
Now we have expressed 100 as a product of factors using a factor tree: 100 = 2 * 5 * 2 * 5.
To express 100 as a product of factors using a factor tree, follow these steps:
Step 1: Start with the number 100 and draw its prime factorization tree. Begin by writing 100 at the top of the page.
100
Step 2: Look for any prime factors of 100. Prime numbers are numbers that can only be divided evenly by 1 and themselves. The first prime number to check is 2.
2 100
Step 3: Divide 100 by 2. The result is 50. Write this number below the 100, connected by a line.
2 100
/
50
Step 4: Determine if 50 is divisible by 2. Since it is divisible, divide 50 by 2 to get 25.
2 100
/ \
2 25
Step 5: Check if 25 is divisible by 2. It is not, so move on to the next prime number, which is 3.
2 100
/ \
2 25
/
5
Step 6: Verify if 25 is divisible by 5. It is divisible, so divide 25 by 5 to get 5.
2 100
/ \
2 25
/ \
5 5
Step 7: Previously, we checked if 25 is divisible by 3. Since it is not, we move on to the next prime number, which is 5.
2 100
/ \
2 25
/ \
5 5
Step 8: Now we reach a point where all the numbers in the factor tree are prime factors.
Step 9: Multiply all the prime factors to get the original number, 100.
2 * 2 * 5 * 5 = 100
Therefore, the prime factorization of 100 is 2 * 2 * 5 * 5.