Prime Factors of 70144

Steps to find Prime Factors of 70144 by Division Method

To find the primefactors of 70144 using the division method, follow these steps:

• Step 1. Start dividing 70144 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 70144, which is 2. Divide 70144 by 2 to obtain the quotient (35072).
  70144 ÷ 2 = 35072
• Step 3. Repeat step 1 with the obtained quotient (35072).
  35072 ÷ 2 = 17536
  17536 ÷ 2 = 8768
  8768 ÷ 2 = 4384
  4384 ÷ 2 = 2192
  2192 ÷ 2 = 1096
  1096 ÷ 2 = 548
  548 ÷ 2 = 274
  274 ÷ 2 = 137
  137 ÷ 137 = 1

So, the prime factorization of 70144 is, 70144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 137.

Steps to find Prime Factors of 70144 by Factor Tree Method

We can follow the same procedure using the factor tree of 70144 as shown below:

So, the prime factorization of 70144 is, 70144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 137.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 70144 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 137.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 70144 but not a prime factor of 70144.

Frequently Asked Questions

• Which is the smallest prime factor of 70144?

  Smallest prime factor of 70144 is 2.

• Is 70144 a perfect square?

  No 70144 is not a perfect square.

• What is the prime factorization of 70144?

  Prime factorization of 70144 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 137.

• What is prime factorization of 70144 in exponential form?

  Prime factorization of 70144 in exponential form is 2⁹ x 137.

• Is 70144 a prime number or a composite number?

  70144 is a composite number.

• Which is the largest prime factors of 70144?

  The largest prime factor of 70144 is 137.

• What is the product of all prime factors of 70144?

  Prime factors of 70144 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 137. Therefore, their product is 70144.

• What numbers are the prime factors of 70144?

  Prime factors of 70144 are 2 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 137.

• Is there any even prime factor of 70144?

  Yes there is a even prime factor of 70144.