Factors of 3528 are integers that can be divided evenly into 3528. There are overall 36 factors of 3528 among which 3528 is the biggest factor and its prime factors are 2, 3, 7. The Prime Factorization of 3528 is 2³ × 3² × 7².

• All Factors of 3528: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764 and 3528
• Prime Factors of 3528: 2, 3, 7
• Prime Factorization of 3528: 2³ × 3² × 7²
• Sum of Factors of 3528: 11115

1.	What Are the Factors of 3528?
2.	Factors of 3528 by Prime Factorization
3.	Factors of 3528 in Pairs
4.	FAQs on Factors of 3528

Factors of 3528 are pairs of those numbers whose products result in 3528. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3528?

To find the factors of 3528, we will have to find the list of numbers that would divide 3528 without leaving any remainder.

• 3528/294 = 12; therefore, 294 is a factor of 3528 and 12 is also a factor of 3528.
• 3528/441 = 8; therefore, 441 is a factor of 3528 and 8 is also a factor of 3528.

Similarly we can find other factors. Hence, the factors of 3528 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764, 3528.

☛ Also Check:

• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 38 - The factors of 38 are 1, 2, 19, 38
• Factors of 11 - The factors of 11 are 1, 11

The number 3528 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3528. The first step is to divide the number 3528 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 3528 ÷ 2 = 1764
• 1764 ÷ 2 = 882
• 882 ÷ 2 = 441

Further dividing 441 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 441 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 3528 can be written as 2³ × 3² × 7² where 2, 3, 7 are prime.

Pair factors of 3528 are the pairs of numbers that when multiplied give the product 3528. The factors of 3528 in pairs are:

• 1 × 3528 = (1, 3528)
• 2 × 1764 = (2, 1764)
• 3 × 1176 = (3, 1176)
• 4 × 882 = (4, 882)
• 6 × 588 = (6, 588)
• 7 × 504 = (7, 504)
• 8 × 441 = (8, 441)
• 9 × 392 = (9, 392)
• 12 × 294 = (12, 294)
• 14 × 252 = (14, 252)
• 18 × 196 = (18, 196)
• 21 × 168 = (21, 168)
• 24 × 147 = (24, 147)
• 28 × 126 = (28, 126)
• 36 × 98 = (36, 98)
• 42 × 84 = (42, 84)
• 49 × 72 = (49, 72)
• 56 × 63 = (56, 63)

Negative pair factors of 3528 are:

• -1 × -3528 = (-1, -3528)
• -2 × -1764 = (-2, -1764)
• -3 × -1176 = (-3, -1176)
• -4 × -882 = (-4, -882)
• -6 × -588 = (-6, -588)
• -7 × -504 = (-7, -504)
• -8 × -441 = (-8, -441)
• -9 × -392 = (-9, -392)
• -12 × -294 = (-12, -294)
• -14 × -252 = (-14, -252)
• -18 × -196 = (-18, -196)
• -21 × -168 = (-21, -168)
• -24 × -147 = (-24, -147)
• -28 × -126 = (-28, -126)
• -36 × -98 = (-36, -98)
• -42 × -84 = (-42, -84)
• -49 × -72 = (-49, -72)
• -56 × -63 = (-56, -63)

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