Factors of 990 in pair

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Factors of 990 in pair are (1, 990) , (2, 495) , (3, 330) , (5, 198) , (6, 165) , (9, 110) , (10, 99) , (11, 90) , (15, 66) , (18, 55) , (22, 45) and (30, 33)

How to find factors of a number in pair

Steps to find factors of 990 in pair

Find all the numbers that would divide 990 without leaving any remainder. Starting with the number 1 upto 495 (half of 990). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 990, and read off the answer!

Example: Find factors of 990 in pair

Factor Pair	Pair Factorization
1 and 990	1 x 990 = 990
2 and 495	2 x 495 = 990
3 and 330	3 x 330 = 990
5 and 198	5 x 198 = 990
6 and 165	6 x 165 = 990
9 and 110	9 x 110 = 990
10 and 99	10 x 99 = 990
11 and 90	11 x 90 = 990
15 and 66	15 x 66 = 990
18 and 55	18 x 55 = 990
22 and 45	22 x 45 = 990
30 and 33	30 x 33 = 990

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 990. They are called negative pair factors.

Hence, the negative pairs of 990 would be ( -1 , -990 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 990 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 11 , 15 , 18 , 22 , 30 , 33 , 45 , 55 , 66 , 90 , 99 , 110 , 165 , 198 , 330 , 495 , 990. So, factors of 990 in pair are (1,990), (2,495), (3,330), (5,198), (6,165), (9,110), (10,99), (11,90), (15,66), (18,55), (22,45), (30,33).

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 990 is a factor of itself.
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, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990 are exact divisors of 990.
1 is a factor of every number. Eg. 1 is a factor of 990.
Every number is a factor of zero (0), since 990 x 0 = 0.

Steps to find Factors of 990

Step 1. Find all the numbers that would divide 990 without leaving any remainder. Starting with the number 1 upto 495 (half of 990). The number 1 and the number itself are always factors of the given number.

990 ÷ 1 : Remainder = 0

990 ÷ 2 : Remainder = 0

990 ÷ 3 : Remainder = 0

990 ÷ 5 : Remainder = 0

990 ÷ 6 : Remainder = 0

990 ÷ 9 : Remainder = 0

990 ÷ 10 : Remainder = 0

990 ÷ 11 : Remainder = 0

990 ÷ 15 : Remainder = 0

990 ÷ 18 : Remainder = 0

990 ÷ 22 : Remainder = 0

990 ÷ 30 : Remainder = 0

990 ÷ 33 : Remainder = 0

990 ÷ 45 : Remainder = 0

990 ÷ 55 : Remainder = 0

990 ÷ 66 : Remainder = 0

990 ÷ 90 : Remainder = 0

990 ÷ 99 : Remainder = 0

990 ÷ 110 : Remainder = 0

990 ÷ 165 : Remainder = 0

990 ÷ 198 : Remainder = 0

990 ÷ 330 : Remainder = 0

990 ÷ 495 : Remainder = 0

990 ÷ 990 : Remainder = 0

Hence, Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, and 990

Frequently Asked Questions

Is 990 a composite number?
Yes 990 is a composite number.
Is 990 a prime number?
No 990 is not a prime number.
What is the mean of factors of 990?
Factors of 990 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 11 , 15 , 18 , 22 , 30 , 33 , 45 , 55 , 66 , 90 , 99 , 110 , 165 , 198 , 330 , 495 , 990. therefore mean of factors of 990 is (1 + 2 + 3 + 5 + 6 + 9 + 10 + 11 + 15 + 18 + 22 + 30 + 33 + 45 + 55 + 66 + 90 + 99 + 110 + 165 + 198 + 330 + 495 + 990) / 24 = 117.00.
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

Can you help Rubel in arranging 990 blocks in order to form a rectangle in all possible ways? For arranging 990 blocks in order to form a rectangle in all possible ways we need to find factors of 990 in pair.

Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. So, factors of 990 in pair are (1,990), (2,495), (3,330), (5,198), (6,165), (9,110), (10,99), (11,90), (15,66), (18,55), (22,45), (30,33).

Ariel has been asked to write all factor pairs of 990 but she is finding it difficult. Can you help her find out?

How many total number of factors of 990 in pair are possible?

Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. Hence, the factors of 990 in pair are (1,990), (2,495), (3,330), (5,198), (6,165), (9,110), (10,99), (11,90), (15,66), (18,55), (22,45), (30,33). Therefore, in total 12 pairs of factors are possible.

Sammy wants to write all the negative factors of 990 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 990 are -1, -2, -3, -5, -6, -9, -10, -11, -15, -18, -22, -30, -33, -45, -55, -66, -90, -99, -110, -165, -198, -330, -495, -990. Hence, factors of 990 in pair are (-1,-990), (-2,-495), (-3,-330), (-5,-198), (-6,-165), (-9,-110), (-10,-99), (-11,-90), (-15,-66), (-18,-55), (-22,-45), (-30,-33).

Help Deep in writing the positive factors of 990 in pair and negative factor of 990 in pair.

Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. Positive factors of 990 in pair are (1,990), (2,495), (3,330), (5,198), (6,165), (9,110), (10,99), (11,90), (15,66), (18,55), (22,45), (30,33). Negative factors of 990 in pair are (-1,-990), (-2,-495), (-3,-330), (-5,-198), (-6,-165), (-9,-110), (-10,-99), (-11,-90), (-15,-66), (-18,-55), (-22,-45), (-30,-33).

Find the product of all factors of 990.

Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. So the product of all factors of 990 would be 1 x 2 x 3 x 5 x 6 x 9 x 10 x 11 x 15 x 18 x 22 x 30 x 33 x 45 x 55 x 66 x 90 x 99 x 110 x 165 x 198 x 330 x 495 x 990 = 8.863848717161292e+35.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 990.
- Writing all prime factors of 990.
- Writing all the possible factors of 990 in pair.
Help him in writing all these.

Positive factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990.
Prime factors of 990 are 2, 3, 3, 5, 11.
Factors of 990 in pair are (1,990), (2,495), (3,330), (5,198), (6,165), (9,110), (10,99), (11,90), (15,66), (18,55), (22,45), (30,33).

Can you help Sammy list the factors of 990 and also find the factor pairs?

Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990.
Factors of 990 in pair are (1,990), (2,495), (3,330), (5,198), (6,165), (9,110), (10,99), (11,90), (15,66), (18,55), (22,45), (30,33).