How do you break down a prime factor?

Division Method of Prime Factorization

1. Step 1: Divide the number by the smallest prime number such that the smallest prime number should divide the number completely.
2. Step 2: Again, divide the quotient of step 1 by the smallest prime number.
3. Step 3: Repeat step 2, until the quotient becomes 1.

How do you express a number as a product of its prime factors in index form?

To express a number as a product of it’s prime factors, divide the number by prime numbers until 1 is obtained. Express 1386 as a product of it’s prime factors, leaving your answer in index notation.

How do you break numbers into factors?

This can be done multiple ways:

1. I find it easier to start with the number and use short division repeatedly: Start by dividing with smallest possible divisor (a prime number) and repeat until you get a prime number as a result.
2. Using a factor tree, until you get all your final values as prime numbers.

What strategies can be used to divide whole numbers?

Create equal groups (amount of circles of the divisor; using our example, make 3 circles). Decompose your dividend into whole numbers. Divide the whole numbers into the equal groups, so that all groups have the same amount of numbers in them. Add up your whole numbers that are in each group.

How do you express 144 as a product of prime factors in index form?

The factors of composite number 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. 144 is a square number. The prime factorization of 144 is 2 × 2 × 2 × 2 × 3 × 3.

How do you write 42 as a product of prime factors?

Therefore, 42 can be expressed as a product of its prime factors as 2 × 3 × 7.

How do you write 84 as a product of prime factors?

The Prime Factorization of 84 is 22 × 3 × 7.

How can you write 16 as the product of only prime numbers?

16 = 2 * 2 * 2 * 2 as a product of primes or 16 = 2⁴ as index notation.