Factors of 3150 in pair

Go back to 'All factors of a number in pair pages' >

Factors of 3150 in pair are (1, 3150) , (2, 1575) , (3, 1050) , (5, 630) , (6, 525) , (7, 450) , (9, 350) , (10, 315) , (14, 225) , (15, 210) , (18, 175) , (21, 150) , (25, 126) , (30, 105) , (35, 90) , (42, 75) , (45, 70) and (50, 63)

How to find factors of a number in pair

Steps to find factors of 3150 in pair

Find all the numbers that would divide 3150 without leaving any remainder. Starting with the number 1 upto 1575 (half of 3150). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 3150, and read off the answer!

Example: Find factors of 3150 in pair

Factor Pair	Pair Factorization
1 and 3150	1 x 3150 = 3150
2 and 1575	2 x 1575 = 3150
3 and 1050	3 x 1050 = 3150
5 and 630	5 x 630 = 3150
6 and 525	6 x 525 = 3150
7 and 450	7 x 450 = 3150
9 and 350	9 x 350 = 3150
10 and 315	10 x 315 = 3150
14 and 225	14 x 225 = 3150
15 and 210	15 x 210 = 3150
18 and 175	18 x 175 = 3150
21 and 150	21 x 150 = 3150
25 and 126	25 x 126 = 3150
30 and 105	30 x 105 = 3150
35 and 90	35 x 90 = 3150
42 and 75	42 x 75 = 3150
45 and 70	45 x 70 = 3150
50 and 63	50 x 63 = 3150

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 3150. They are called negative pair factors.

Hence, the negative pairs of 3150 would be ( -1 , -3150 ) .

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 3150 are 1 , 2 , 3 , 5 , 6 , 7 , 9 , 10 , 14 , 15 , 18 , 21 , 25 , 30 , 35 , 42 , 45 , 50 , 63 , 70 , 75 , 90 , 105 , 126 , 150 , 175 , 210 , 225 , 315 , 350 , 450 , 525 , 630 , 1050 , 1575 , 3150. So, factors of 3150 in pair are (1,3150), (2,1575), (3,1050), (5,630), (6,525), (7,450), (9,350), (10,315), (14,225), (15,210), (18,175), (21,150), (25,126), (30,105), (35,90), (42,75), (45,70), (50,63).

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. 3150 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, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150 are exact divisors of 3150.
1 is a factor of every number. Eg. 1 is a factor of 3150.
Every number is a factor of zero (0), since 3150 x 0 = 0.

Steps to find Factors of 3150

Step 1. Find all the numbers that would divide 3150 without leaving any remainder. Starting with the number 1 upto 1575 (half of 3150). The number 1 and the number itself are always factors of the given number.

3150 ÷ 1 : Remainder = 0

3150 ÷ 2 : Remainder = 0

3150 ÷ 3 : Remainder = 0

3150 ÷ 5 : Remainder = 0

3150 ÷ 6 : Remainder = 0

3150 ÷ 7 : Remainder = 0

3150 ÷ 9 : Remainder = 0

3150 ÷ 10 : Remainder = 0

3150 ÷ 14 : Remainder = 0

3150 ÷ 15 : Remainder = 0

3150 ÷ 18 : Remainder = 0

3150 ÷ 21 : Remainder = 0

3150 ÷ 25 : Remainder = 0

3150 ÷ 30 : Remainder = 0

3150 ÷ 35 : Remainder = 0

3150 ÷ 42 : Remainder = 0

3150 ÷ 45 : Remainder = 0

3150 ÷ 50 : Remainder = 0

3150 ÷ 63 : Remainder = 0

3150 ÷ 70 : Remainder = 0

3150 ÷ 75 : Remainder = 0

3150 ÷ 90 : Remainder = 0

3150 ÷ 105 : Remainder = 0

3150 ÷ 126 : Remainder = 0

3150 ÷ 150 : Remainder = 0

3150 ÷ 175 : Remainder = 0

3150 ÷ 210 : Remainder = 0

3150 ÷ 225 : Remainder = 0

3150 ÷ 315 : Remainder = 0

3150 ÷ 350 : Remainder = 0

3150 ÷ 450 : Remainder = 0

3150 ÷ 525 : Remainder = 0

3150 ÷ 630 : Remainder = 0

3150 ÷ 1050 : Remainder = 0

3150 ÷ 1575 : Remainder = 0

3150 ÷ 3150 : Remainder = 0

Hence, Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, and 3150

Frequently Asked Questions

Is 3150 a composite number?
Yes 3150 is a composite number.
Is 3150 a prime number?
No 3150 is not a prime number.
What is the mean of factors of 3150?
Factors of 3150 are 1 , 2 , 3 , 5 , 6 , 7 , 9 , 10 , 14 , 15 , 18 , 21 , 25 , 30 , 35 , 42 , 45 , 50 , 63 , 70 , 75 , 90 , 105 , 126 , 150 , 175 , 210 , 225 , 315 , 350 , 450 , 525 , 630 , 1050 , 1575 , 3150. therefore mean of factors of 3150 is (1 + 2 + 3 + 5 + 6 + 7 + 9 + 10 + 14 + 15 + 18 + 21 + 25 + 30 + 35 + 42 + 45 + 50 + 63 + 70 + 75 + 90 + 105 + 126 + 150 + 175 + 210 + 225 + 315 + 350 + 450 + 525 + 630 + 1050 + 1575 + 3150) / 36 = 268.67.
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 3150 blocks in order to form a rectangle in all possible ways? For arranging 3150 blocks in order to form a rectangle in all possible ways we need to find factors of 3150 in pair.

Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. So, factors of 3150 in pair are (1,3150), (2,1575), (3,1050), (5,630), (6,525), (7,450), (9,350), (10,315), (14,225), (15,210), (18,175), (21,150), (25,126), (30,105), (35,90), (42,75), (45,70), (50,63).

Ariel has been asked to write all factor pairs of 3150 but she is finding it difficult. Can you help her find out?

How many total number of factors of 3150 in pair are possible?

Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. Hence, the factors of 3150 in pair are (1,3150), (2,1575), (3,1050), (5,630), (6,525), (7,450), (9,350), (10,315), (14,225), (15,210), (18,175), (21,150), (25,126), (30,105), (35,90), (42,75), (45,70), (50,63). Therefore, in total 18 pairs of factors are possible.

Sammy wants to write all the negative factors of 3150 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 3150 are -1, -2, -3, -5, -6, -7, -9, -10, -14, -15, -18, -21, -25, -30, -35, -42, -45, -50, -63, -70, -75, -90, -105, -126, -150, -175, -210, -225, -315, -350, -450, -525, -630, -1050, -1575, -3150. Hence, factors of 3150 in pair are (-1,-3150), (-2,-1575), (-3,-1050), (-5,-630), (-6,-525), (-7,-450), (-9,-350), (-10,-315), (-14,-225), (-15,-210), (-18,-175), (-21,-150), (-25,-126), (-30,-105), (-35,-90), (-42,-75), (-45,-70), (-50,-63).

Help Deep in writing the positive factors of 3150 in pair and negative factor of 3150 in pair.

Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. Positive factors of 3150 in pair are (1,3150), (2,1575), (3,1050), (5,630), (6,525), (7,450), (9,350), (10,315), (14,225), (15,210), (18,175), (21,150), (25,126), (30,105), (35,90), (42,75), (45,70), (50,63). Negative factors of 3150 in pair are (-1,-3150), (-2,-1575), (-3,-1050), (-5,-630), (-6,-525), (-7,-450), (-9,-350), (-10,-315), (-14,-225), (-15,-210), (-18,-175), (-21,-150), (-25,-126), (-30,-105), (-35,-90), (-42,-75), (-45,-70), (-50,-63).

Find the product of all factors of 3150.

Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. So the product of all factors of 3150 would be 1 x 2 x 3 x 5 x 6 x 7 x 9 x 10 x 14 x 15 x 18 x 21 x 25 x 30 x 35 x 42 x 45 x 50 x 63 x 70 x 75 x 90 x 105 x 126 x 150 x 175 x 210 x 225 x 315 x 350 x 450 x 525 x 630 x 1050 x 1575 x 3150 = 9.323736003534051e+62.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 3150.
- Writing all prime factors of 3150.
- Writing all the possible factors of 3150 in pair.
Help him in writing all these.

Positive factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150.
Prime factors of 3150 are 2, 3, 3, 5, 5, 7.
Factors of 3150 in pair are (1,3150), (2,1575), (3,1050), (5,630), (6,525), (7,450), (9,350), (10,315), (14,225), (15,210), (18,175), (21,150), (25,126), (30,105), (35,90), (42,75), (45,70), (50,63).

Can you help Sammy list the factors of 3150 and also find the factor pairs?

Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150.
Factors of 3150 in pair are (1,3150), (2,1575), (3,1050), (5,630), (6,525), (7,450), (9,350), (10,315), (14,225), (15,210), (18,175), (21,150), (25,126), (30,105), (35,90), (42,75), (45,70), (50,63).