Factors of 69696 in pair are (1, 69696) , (2, 34848) , (3, 23232) , (4, 17424) , (6, 11616) , (8, 8712) , (9, 7744) , (11, 6336) , (12, 5808) , (16, 4356) , (18, 3872) , (22, 3168) , (24, 2904) , (32, 2178) , (33, 2112) , (36, 1936) , (44, 1584) , (48, 1452) , (64, 1089) , (66, 1056) , (72, 968) , (88, 792) , (96, 726) , (99, 704) , (121, 576) , (132, 528) , (144, 484) , (176, 396) , (192, 363) , (198, 352) , (242, 288) and (264, 264)

How to find factors of a number in pair

Steps to find factors of 69696 in pair

Example: Find factors of 69696 in pair

Factor Pair Pair Factorization
1 and 69696 1 x 69696 = 69696
2 and 34848 2 x 34848 = 69696
3 and 23232 3 x 23232 = 69696
4 and 17424 4 x 17424 = 69696
6 and 11616 6 x 11616 = 69696
8 and 8712 8 x 8712 = 69696
9 and 7744 9 x 7744 = 69696
11 and 6336 11 x 6336 = 69696
12 and 5808 12 x 5808 = 69696
16 and 4356 16 x 4356 = 69696
18 and 3872 18 x 3872 = 69696
22 and 3168 22 x 3168 = 69696
24 and 2904 24 x 2904 = 69696
32 and 2178 32 x 2178 = 69696
33 and 2112 33 x 2112 = 69696
36 and 1936 36 x 1936 = 69696
44 and 1584 44 x 1584 = 69696
48 and 1452 48 x 1452 = 69696
64 and 1089 64 x 1089 = 69696
66 and 1056 66 x 1056 = 69696
72 and 968 72 x 968 = 69696
88 and 792 88 x 792 = 69696
96 and 726 96 x 726 = 69696
99 and 704 99 x 704 = 69696
121 and 576 121 x 576 = 69696
132 and 528 132 x 528 = 69696
144 and 484 144 x 484 = 69696
176 and 396 176 x 396 = 69696
192 and 363 192 x 363 = 69696
198 and 352 198 x 352 = 69696
242 and 288 242 x 288 = 69696
264 and 264 264 x 264 = 69696

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 69696. They are called negative pair factors.

Hence, the negative pairs of 69696 would be ( -1 , -69696 ) .

Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 69696 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 11 , 12 , 16 , 18 , 22 , 24 , 32 , 33 , 36 , 44 , 48 , 64 , 66 , 72 , 88 , 96 , 99 , 121 , 132 , 144 , 176 , 192 , 198 , 242 , 264 , 288 , 352 , 363 , 396 , 484 , 528 , 576 , 704 , 726 , 792 , 968 , 1056 , 1089 , 1452 , 1584 , 1936 , 2112 , 2178 , 2904 , 3168 , 3872 , 4356 , 5808 , 6336 , 7744 , 8712 , 11616 , 17424 , 23232 , 34848 , 69696. So, factors of 69696 in pair are (1,69696), (2,34848), (3,23232), (4,17424), (6,11616), (8,8712), (9,7744), (11,6336), (12,5808), (16,4356), (18,3872), (22,3168), (24,2904), (32,2178), (33,2112), (36,1936), (44,1584), (48,1452), (64,1089), (66,1056), (72,968), (88,792), (96,726), (99,704), (121,576), (132,528), (144,484), (176,396), (192,363), (198,352), (242,288), (264,264).

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 69696 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 69696.
  • Every number is a factor of zero (0), since 69696 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848, 69696 are exact divisors of 69696.
  • Factors of 69696 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848, 69696. Each factor divides 69696 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848, 69696 are all less than or equal to 69696.

Steps to find Factors of 69696

  • Step 1. Find all the numbers that would divide 69696 without leaving any remainder. Starting with the number 1 upto 34848 (half of 69696). The number 1 and the number itself are always factors of the given number.
    69696 ÷ 1 : Remainder = 0
    69696 ÷ 2 : Remainder = 0
    69696 ÷ 3 : Remainder = 0
    69696 ÷ 4 : Remainder = 0
    69696 ÷ 6 : Remainder = 0
    69696 ÷ 8 : Remainder = 0
    69696 ÷ 9 : Remainder = 0
    69696 ÷ 11 : Remainder = 0
    69696 ÷ 12 : Remainder = 0
    69696 ÷ 16 : Remainder = 0
    69696 ÷ 18 : Remainder = 0
    69696 ÷ 22 : Remainder = 0
    69696 ÷ 24 : Remainder = 0
    69696 ÷ 32 : Remainder = 0
    69696 ÷ 33 : Remainder = 0
    69696 ÷ 36 : Remainder = 0
    69696 ÷ 44 : Remainder = 0
    69696 ÷ 48 : Remainder = 0
    69696 ÷ 64 : Remainder = 0
    69696 ÷ 66 : Remainder = 0
    69696 ÷ 72 : Remainder = 0
    69696 ÷ 88 : Remainder = 0
    69696 ÷ 96 : Remainder = 0
    69696 ÷ 99 : Remainder = 0
    69696 ÷ 121 : Remainder = 0
    69696 ÷ 132 : Remainder = 0
    69696 ÷ 144 : Remainder = 0
    69696 ÷ 176 : Remainder = 0
    69696 ÷ 192 : Remainder = 0
    69696 ÷ 198 : Remainder = 0
    69696 ÷ 242 : Remainder = 0
    69696 ÷ 264 : Remainder = 0
    69696 ÷ 288 : Remainder = 0
    69696 ÷ 352 : Remainder = 0
    69696 ÷ 363 : Remainder = 0
    69696 ÷ 396 : Remainder = 0
    69696 ÷ 484 : Remainder = 0
    69696 ÷ 528 : Remainder = 0
    69696 ÷ 576 : Remainder = 0
    69696 ÷ 704 : Remainder = 0
    69696 ÷ 726 : Remainder = 0
    69696 ÷ 792 : Remainder = 0
    69696 ÷ 968 : Remainder = 0
    69696 ÷ 1056 : Remainder = 0
    69696 ÷ 1089 : Remainder = 0
    69696 ÷ 1452 : Remainder = 0
    69696 ÷ 1584 : Remainder = 0
    69696 ÷ 1936 : Remainder = 0
    69696 ÷ 2112 : Remainder = 0
    69696 ÷ 2178 : Remainder = 0
    69696 ÷ 2904 : Remainder = 0
    69696 ÷ 3168 : Remainder = 0
    69696 ÷ 3872 : Remainder = 0
    69696 ÷ 4356 : Remainder = 0
    69696 ÷ 5808 : Remainder = 0
    69696 ÷ 6336 : Remainder = 0
    69696 ÷ 7744 : Remainder = 0
    69696 ÷ 8712 : Remainder = 0
    69696 ÷ 11616 : Remainder = 0
    69696 ÷ 17424 : Remainder = 0
    69696 ÷ 23232 : Remainder = 0
    69696 ÷ 34848 : Remainder = 0
    69696 ÷ 69696 : Remainder = 0

Hence, Factors of 69696 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848, and 69696

Frequently Asked Questions

  • Is 69696 a composite number?

    Yes 69696 is a composite number.

  • Is 69696 a prime number?

    No 69696 is not a prime number.

  • What is the mean of factors of 69696?

    Factors of 69696 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 11 , 12 , 16 , 18 , 22 , 24 , 32 , 33 , 36 , 44 , 48 , 64 , 66 , 72 , 88 , 96 , 99 , 121 , 132 , 144 , 176 , 192 , 198 , 242 , 264 , 288 , 352 , 363 , 396 , 484 , 528 , 576 , 704 , 726 , 792 , 968 , 1056 , 1089 , 1452 , 1584 , 1936 , 2112 , 2178 , 2904 , 3168 , 3872 , 4356 , 5808 , 6336 , 7744 , 8712 , 11616 , 17424 , 23232 , 34848 , 69696. therefore mean of factors of 69696 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 11 + 12 + 16 + 18 + 22 + 24 + 32 + 33 + 36 + 44 + 48 + 64 + 66 + 72 + 88 + 96 + 99 + 121 + 132 + 144 + 176 + 192 + 198 + 242 + 264 + 288 + 352 + 363 + 396 + 484 + 528 + 576 + 704 + 726 + 792 + 968 + 1056 + 1089 + 1452 + 1584 + 1936 + 2112 + 2178 + 2904 + 3168 + 3872 + 4356 + 5808 + 6336 + 7744 + 8712 + 11616 + 17424 + 23232 + 34848 + 69696) / 63 = 3485.44.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 69696 but she is finding it difficult. Can you help her find out?

Factors of 69696 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848, 69696. So, factors of 69696 in pair are (1,69696), (2,34848), (3,23232), (4,17424), (6,11616), (8,8712), (9,7744), (11,6336), (12,5808), (16,4356), (18,3872), (22,3168), (24,2904), (32,2178), (33,2112), (36,1936), (44,1584), (48,1452), (64,1089), (66,1056), (72,968), (88,792), (96,726), (99,704), (121,576), (132,528), (144,484), (176,396), (192,363), (198,352), (242,288), (264,264).

Sammy wants to write all the negative factors of 69696 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 69696 are -1, -2, -3, -4, -6, -8, -9, -11, -12, -16, -18, -22, -24, -32, -33, -36, -44, -48, -64, -66, -72, -88, -96, -99, -121, -132, -144, -176, -192, -198, -242, -264, -288, -352, -363, -396, -484, -528, -576, -704, -726, -792, -968, -1056, -1089, -1452, -1584, -1936, -2112, -2178, -2904, -3168, -3872, -4356, -5808, -6336, -7744, -8712, -11616, -17424, -23232, -34848, -69696. Hence, factors of 69696 in pair are (-1,-69696), (-2,-34848), (-3,-23232), (-4,-17424), (-6,-11616), (-8,-8712), (-9,-7744), (-11,-6336), (-12,-5808), (-16,-4356), (-18,-3872), (-22,-3168), (-24,-2904), (-32,-2178), (-33,-2112), (-36,-1936), (-44,-1584), (-48,-1452), (-64,-1089), (-66,-1056), (-72,-968), (-88,-792), (-96,-726), (-99,-704), (-121,-576), (-132,-528), (-144,-484), (-176,-396), (-192,-363), (-198,-352), (-242,-288), (-264,-264).

Help Deep in writing the positive factors of 69696 in pair and negative factor of 69696 in pair.

Factors of 69696 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848, 69696. Positive factors of 69696 in pair are (1,69696), (2,34848), (3,23232), (4,17424), (6,11616), (8,8712), (9,7744), (11,6336), (12,5808), (16,4356), (18,3872), (22,3168), (24,2904), (32,2178), (33,2112), (36,1936), (44,1584), (48,1452), (64,1089), (66,1056), (72,968), (88,792), (96,726), (99,704), (121,576), (132,528), (144,484), (176,396), (192,363), (198,352), (242,288), (264,264). Negative factors of 69696 in pair are (-1,-69696), (-2,-34848), (-3,-23232), (-4,-17424), (-6,-11616), (-8,-8712), (-9,-7744), (-11,-6336), (-12,-5808), (-16,-4356), (-18,-3872), (-22,-3168), (-24,-2904), (-32,-2178), (-33,-2112), (-36,-1936), (-44,-1584), (-48,-1452), (-64,-1089), (-66,-1056), (-72,-968), (-88,-792), (-96,-726), (-99,-704), (-121,-576), (-132,-528), (-144,-484), (-176,-396), (-192,-363), (-198,-352), (-242,-288), (-264,-264).

Find the product of all factors of 69696.

Factors of 69696 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848, 69696. So the product of all factors of 69696 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 11 x 12 x 16 x 18 x 22 x 24 x 32 x 33 x 36 x 44 x 48 x 64 x 66 x 72 x 88 x 96 x 99 x 121 x 132 x 144 x 176 x 192 x 198 x 242 x 264 x 288 x 352 x 363 x 396 x 484 x 528 x 576 x 704 x 726 x 792 x 968 x 1056 x 1089 x 1452 x 1584 x 1936 x 2112 x 2178 x 2904 x 3168 x 3872 x 4356 x 5808 x 6336 x 7744 x 8712 x 11616 x 17424 x 23232 x 34848 x 69696 = 3.639547508693652e+152.

Find the product of all prime factors of 69696.

Factors of 69696 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848, 69696. Prime factors are 2, 2, 2, 2, 2, 2, 3, 3, 11, 11. So, the product of all prime factors of 69696 would be 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 = 69696.

Can you help Sammy list the factors of 69696 and also find the factor pairs?

Factors of 69696 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 121, 132, 144, 176, 192, 198, 242, 264, 288, 352, 363, 396, 484, 528, 576, 704, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2112, 2178, 2904, 3168, 3872, 4356, 5808, 6336, 7744, 8712, 11616, 17424, 23232, 34848, 69696.
Factors of 69696 in pair are (1,69696), (2,34848), (3,23232), (4,17424), (6,11616), (8,8712), (9,7744), (11,6336), (12,5808), (16,4356), (18,3872), (22,3168), (24,2904), (32,2178), (33,2112), (36,1936), (44,1584), (48,1452), (64,1089), (66,1056), (72,968), (88,792), (96,726), (99,704), (121,576), (132,528), (144,484), (176,396), (192,363), (198,352), (242,288), (264,264).

Sammy has 69696 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 69696 blocks in all possible ways to form a rectangle, we need to calculate factors of 69696 in pair. Therefore, factors of 69696 in pair are (1,69696), (2,34848), (3,23232), (4,17424), (6,11616), (8,8712), (9,7744), (11,6336), (12,5808), (16,4356), (18,3872), (22,3168), (24,2904), (32,2178), (33,2112), (36,1936), (44,1584), (48,1452), (64,1089), (66,1056), (72,968), (88,792), (96,726), (99,704), (121,576), (132,528), (144,484), (176,396), (192,363), (198,352), (242,288), (264,264)