Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, and 1560

How to find factors of a number

1. Steps to find factors of 1560 using Division Method

Example: Find factors of 1560

  • Divide 1560 by 1: 1560 ÷ 1 : Remainder = 0
  • Divide 1560 by 2: 1560 ÷ 2 : Remainder = 0
  • Divide 1560 by 3: 1560 ÷ 3 : Remainder = 0
  • Divide 1560 by 4: 1560 ÷ 4 : Remainder = 0
  • Divide 1560 by 5: 1560 ÷ 5 : Remainder = 0
  • Divide 1560 by 6: 1560 ÷ 6 : Remainder = 0
  • Divide 1560 by 8: 1560 ÷ 8 : Remainder = 0
  • Divide 1560 by 10: 1560 ÷ 10 : Remainder = 0
  • Divide 1560 by 12: 1560 ÷ 12 : Remainder = 0
  • Divide 1560 by 13: 1560 ÷ 13 : Remainder = 0
  • Divide 1560 by 15: 1560 ÷ 15 : Remainder = 0
  • Divide 1560 by 20: 1560 ÷ 20 : Remainder = 0
  • Divide 1560 by 24: 1560 ÷ 24 : Remainder = 0
  • Divide 1560 by 26: 1560 ÷ 26 : Remainder = 0
  • Divide 1560 by 30: 1560 ÷ 30 : Remainder = 0
  • Divide 1560 by 39: 1560 ÷ 39 : Remainder = 0
  • Divide 1560 by 40: 1560 ÷ 40 : Remainder = 0
  • Divide 1560 by 52: 1560 ÷ 52 : Remainder = 0
  • Divide 1560 by 60: 1560 ÷ 60 : Remainder = 0
  • Divide 1560 by 65: 1560 ÷ 65 : Remainder = 0
  • Divide 1560 by 78: 1560 ÷ 78 : Remainder = 0
  • Divide 1560 by 104: 1560 ÷ 104 : Remainder = 0
  • Divide 1560 by 120: 1560 ÷ 120 : Remainder = 0
  • Divide 1560 by 130: 1560 ÷ 130 : Remainder = 0
  • Divide 1560 by 156: 1560 ÷ 156 : Remainder = 0
  • Divide 1560 by 195: 1560 ÷ 195 : Remainder = 0
  • Divide 1560 by 260: 1560 ÷ 260 : Remainder = 0
  • Divide 1560 by 312: 1560 ÷ 312 : Remainder = 0
  • Divide 1560 by 390: 1560 ÷ 390 : Remainder = 0
  • Divide 1560 by 520: 1560 ÷ 520 : Remainder = 0
  • Divide 1560 by 780: 1560 ÷ 780 : Remainder = 0
  • Divide 1560 by 1560: 1560 ÷ 1560 : Remainder = 0

Hence, Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, and 1560

2. Steps to find factors of 1560 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 1560 using the division method, follow these steps:

  • Step 1. Start dividing 1560 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 1560, which is 2. Divide 1560 by 2 to obtain the quotient (780).
    1560 ÷ 2 = 780
  • Step 3. Repeat step 1 with the obtained quotient (780).
    780 ÷ 2 = 390
    390 ÷ 2 = 195
    195 ÷ 3 = 65
    65 ÷ 5 = 13
    13 ÷ 13 = 1

So, the prime factorization of 1560 is, 1560 = 2 x 2 x 2 x 3 x 5 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1560 as shown below:

So, the prime factorization of 1560 is, 1560 = 2 x 2 x 2 x 3 x 5 x 13.

3. Find factors of 1560 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 1560 would be the two numbers which, when multiplied, give 1560 as the result.

The following table represents the calculation of factors of 1560 in pairs:

Factor Pair Pair Factorization
1 and 1560 1 x 1560 = 1560
2 and 780 2 x 780 = 1560
3 and 520 3 x 520 = 1560
4 and 390 4 x 390 = 1560
5 and 312 5 x 312 = 1560
6 and 260 6 x 260 = 1560
8 and 195 8 x 195 = 1560
10 and 156 10 x 156 = 1560
12 and 130 12 x 130 = 1560
13 and 120 13 x 120 = 1560
15 and 104 15 x 104 = 1560
20 and 78 20 x 78 = 1560
24 and 65 24 x 65 = 1560
26 and 60 26 x 60 = 1560
30 and 52 30 x 52 = 1560
39 and 40 39 x 40 = 1560

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 1560. They are called negative pair factors.

Hence, the negative pairs of 1560 would be ( -1 , -1560 ) , ( -2 , -780 ) , ( -3 , -520 ) , ( -4 , -390 ) , ( -5 , -312 ) , ( -6 , -260 ) , ( -8 , -195 ) , ( -10 , -156 ) , ( -12 , -130 ) , ( -13 , -120 ) , ( -15 , -104 ) , ( -20 , -78 ) , ( -24 , -65 ) , ( -26 , -60 ) , ( -30 , -52 ) and ( -39 , -40 ) .

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. 1560 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1560.
  • Every number is a factor of zero (0), since 1560 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, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560 are exact divisors of 1560.
  • Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. Each factor divides 1560 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560 are all less than or equal to 1560.

Frequently Asked Questions

  • What are the prime factors of 1560?

    The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
    Prime factors of 1560 are 2, 2, 2, 3, 5, 13.

  • What two numbers make 1560?

    Two numbers that make 1560 are 2 and 780.

  • What is the greatest prime factors of 1560?

    The greatest prime factor of 1560 is 13.

  • What are factors of 1560?

    Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.

  • How do you find factors of a negative number? ( eg. -1560 )?

    Factors of -1560 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -13, -15, -20, -24, -26, -30, -39, -40, -52, -60, -65, -78, -104, -120, -130, -156, -195, -260, -312, -390, -520, -780, -1560.

  • What are five multiples of 1560?

    First five multiples of 1560 are 3120, 4680, 6240, 7800, 9360.

  • Write some multiples of 1560?

    First five multiples of 1560 are 3120, 4680, 6240, 7800.

  • Is 1560 a perfect square?

    No 1560 is not a perfect square.

  • What two numbers make 1560?

    Two numbers that make 1560 are 2 and 780.

Examples of Factors

What is prime factorization of 1560?

Prime factorization of 1560 is 2 x 2 x 2 x 3 x 5 x 13 = 23 x 3 x 5 x 13.

Sammy is puzzled while calculating the prime factors of 1560. Can you help him find them?

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
Prime factors of 1560 are 2, 2, 2, 3, 5, 13

Kevin has been asked to write 31 factor(s) of 1560. Can you predict the answer?

31 factor(s) of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780.

Joey wants to write all the prime factors of 1560 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1560 are 2, 2, 2, 3, 5, 13.
So in exponential form it can be written as 23 x 3 x 5 x 13.

How many factors are there for 1560?

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
So there are in total 32 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1560? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -10, -12, -13, -15, -20, -24, -26, -30, -39, -40, -52, -60, -65, -78, -104, -120, -130, -156, -195, -260, -312, -390, -520, -780, -1560.

Can you help Rubel to find out the product of the even factors of 1560?

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
Even factors of 1560 are 2, 4, 6, 8, 10, 12, 20, 24, 26, 30, 40, 52, 60, 78, 104, 120, 130, 156, 260, 312, 390, 520, 780, 1560.
Hence, product of even factors of 1560 is; 2 x 4 x 6 x 8 x 10 x 12 x 20 x 24 x 26 x 30 x 40 x 52 x 60 x 78 x 104 x 120 x 130 x 156 x 260 x 312 x 390 x 520 x 780 x 1560 = 8.50854163267827e+41.