Factors of 3402 are the list of integers that we can split evenly into 3402. There are 24 factors of 3402 of which 3402 itself is the biggest factor and its prime factors are 2, 3, 7 The Prime Factorization of 3402 is 2¹ × 3⁵ × 7¹.

• All Factors of 3402: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402
• Prime Factors of 3402: 2, 3, 7
• Prime Factorization of 3402: 2¹ × 3⁵ × 7¹
• Sum of Factors of 3402: 8736

1.	What Are the Factors of 3402?
2.	Factors of 3402 by Prime Factorization
3.	Factors of 3402 in Pairs
4.	FAQs on Factors of 3402

Factors of 3402 are pairs of those numbers whose products result in 3402. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3402?

To find the factors of 3402, we will have to find the list of numbers that would divide 3402 without leaving any remainder.

• 3402/21 = 162; therefore, 21 is a factor of 3402 and 162 is also a factor of 3402.
• 3402/3 = 1134; therefore, 3 is a factor of 3402 and 1134 is also a factor of 3402.

Similarly we can find other factors. Hence, the factors of 3402 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402.

☛ Also Check:

• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 19 - The factors of 19 are 1, 19
• Factors of 49 - The factors of 49 are 1, 7, 49

The number 3402 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3402. The first step is to divide the number 3402 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 3402 ÷ 2 = 1701

Further dividing 1701 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1701 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 3402 can be written as 2¹ × 3⁵ × 7¹ where 2, 3, 7 are prime.

Pair factors of 3402 are the pairs of numbers that when multiplied give the product 3402. The factors of 3402 in pairs are:

• 1 × 3402 = (1, 3402)
• 2 × 1701 = (2, 1701)
• 3 × 1134 = (3, 1134)
• 6 × 567 = (6, 567)
• 7 × 486 = (7, 486)
• 9 × 378 = (9, 378)
• 14 × 243 = (14, 243)
• 18 × 189 = (18, 189)
• 21 × 162 = (21, 162)
• 27 × 126 = (27, 126)
• 42 × 81 = (42, 81)
• 54 × 63 = (54, 63)

Negative pair factors of 3402 are:

• -1 × -3402 = (-1, -3402)
• -2 × -1701 = (-2, -1701)
• -3 × -1134 = (-3, -1134)
• -6 × -567 = (-6, -567)
• -7 × -486 = (-7, -486)
• -9 × -378 = (-9, -378)
• -14 × -243 = (-14, -243)
• -18 × -189 = (-18, -189)
• -21 × -162 = (-21, -162)
• -27 × -126 = (-27, -126)
• -42 × -81 = (-42, -81)
• -54 × -63 = (-54, -63)

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