Factors of 10

The factors of 10 are the numbers, which produce the result as 10 when two numbers are multiplied together. Factor pairs of the number 10 are the whole numbers which could be either positive or negative but not a fraction or decimal number. Consider an example, the factor pairs of 3 is written as (1, 3) and (-1,-3). When we multiply the negative pair factors numbers, the result should give the original number, such as multiplying -1 × -3, then we get the number 3. Thus, we can consider both positive factor pairs and negative factor pairs of 3. To find the factors of a number, 10, we will use the factorization method.

In the factorization method, first consider the numbers, 1 and 10 as factors of 10 and continue with finding the other pair of multiples of 10 which gives the results as an original number. To understand this method in a better way, read the article below to find the factors of 10 in pairs. Also, the prime factors of 10 with the help of the division method is discussed here

Pair Factors of 10

To find the pair factors of 10, multiply the two numbers in a pair to get the original number as 10, such numbers are as follows

If 1 × 10 = 10, then (1, 10) is a pair factor of 10.

Similarly, let us find other pair factors of 10.

2 × 5 = 10, (2, 5) is a pair factor of 10

Therefore, the positive pair factors of 10 are (1, 10), and (2, 5)

To find the negative pair factors of 10, then proceed with the following steps

If -1 × -10 = 10, then (-1,- 10) is a pair factor of 10.

-2 × -5 = 10, (-2, -5) is a pair factor of 10

Therefore, the negative pair factors of 10 are (-1, -10), and (-2, -5)

How to Find the Factors of 10?

Learn the following steps to find factors of 10.

  • First, write the number 10
  • Find the two numbers, which gives the result as 10 under the multiplication, say 2 and 5, such that 2 × 5 = 10.
  • We know that 2 and 5 are the prime number which has only two factors, i.e., 1 and the number itself. So, we cannot further factorize it.

The factors of 2 = 2 × 1

The factors of 5 = 5 x 1

  • Therefore, the factorization of 10 is written as, 10 = 2 × 5 × 1
  • Finally, write down all the unique numbers which we can obtain from 10 = 2 × 5 × 1

Factors of 10

1, 2, 5, and 10

Prime Factors of 10

The number 10 is a composite number and it has prime factors. Now let us know how to find the prime factors of 10.

  • The first step is to divide the number 10 with the smallest prime factor, say 2.
  • 10 ÷ 2 = 5

    Now, if we divide 5 by 2 we will get a fractional number, that cannot be a factor of 10

  • So, further proceed with the next prime numbers, i.e. 5
  • 5 ÷ 5 = 1

  • We have received the number 1 at the end in the division process that we cannot proceed further. So, the prime factors of 10 are written as 2 × 5 where 2 and 5 are the prime numbers.

Learn more about factors and prime factors of other numbers by downloading BYJU’S – The Learning App for a better experience and clarification.

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