Factors of 402 are the list of integers that we can split evenly into 402. There are overall 8 factors of 402 among which 402 is the biggest factor and its positive factors are 1, 2, 3, 6, 67, 134, 201, 402. The Pair Factors of 402 are (1, 402), (2, 201), (3, 134), (6, 67) and its Prime Factors are 2 × 3 × 67.

• All Factors of 402: 1, 2, 3, 6, 67, 134, 201 and 402
• Negative Factors of 402: -1, -2, -3, -6, -67, -134, -201 and -402
• Prime Factors of 402: 2, 3, 67
• Prime Factorization of 402: 2¹ × 3¹ × 67¹
• Sum of Factors of 402: 816

1.	What Are the Factors of 402?
2.	Factors of 402 by Prime Factorization
3.	Factors of 402 in Pairs
4.	FAQs on Factors of 402

Factors of 402 are pairs of those numbers whose products result in 402. These factors are either prime numbers or composite numbers.

How to Find the Factors of 402?

To find the factors of 402, we will have to find the list of numbers that would divide 402 without leaving any remainder.

• 402/402 = 1; therefore, 402 is a factor of 402.
• 402/3 = 134; therefore, 3 is a factor of 402.

Similarly we can find other factors. Hence, the factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402.

☛ Also Check:

• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The number 402 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 402. The first step is to divide the number 402 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 402 ÷ 2 = 201

Further dividing 201 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 201 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 402 can be written as 2¹ × 3¹ × 67¹ where 2, 3, 67 are prime.

Pair factors of 402 are the pairs of numbers that when multiplied give the product 402. The factors of 402 in pairs are:

• 1 × 402 = (1, 402)
• 2 × 201 = (2, 201)
• 3 × 134 = (3, 134)
• 6 × 67 = (6, 67)

Negative pair factors of 402 are:

• -1 × -402 = (-1, -402)
• -2 × -201 = (-2, -201)
• -3 × -134 = (-3, -134)
• -6 × -67 = (-6, -67)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.