Factors of 105

The two numbers which gets multiplied and produce the result as 105, then these numbers are the factors of 105.

These numbers can be positive or negative but cannot be in decimal form or fractions. Let’s take an example to understand this concept. The factor pair for number 31 will be

(1, 31) (-1, -31)

When we multiply the factors (1, 31) we get the number 31.

Similarly even when we multiply the two negative factors(-1, -31) then we get the number 31 only.

So, we can say that both positive and negative factors pairs of 31are the factors of 31. We will use the same factorization method to find the factors and multiples of 105.

In this method we need to first consider the number itself and one as the factors, so 105 and 1is the factors of 105 and then keep finding the factors of 105 which shall give us the number 105.

Pair Factors of 105

To find the pair factors of 105, multiply the 2 no.s in a pair to have the original numbers as 105, such numbers are as follows:

(1, 105)

(3, 35)

(5, 21)

(7,15)

(15,7)

(21,5)

(35,3)

(105,1)

These were the positive pair factors for 105.

Prime Factors of 105

These are the negative pair factors for 105.

(-1, -105)

(-3, -35)

(-5, -21)

(-7, -15)

(-15, -7)

(-21, -5)

(-35, -3)

(-105, -1)

Factor of 105 in pairs

(1, 105) are factors of 105 as 1 x 105 is 105.

(3, 35) are factors of 105 as 5 x 83 is 105.

(5, 21) are factors of 105 as 83 x 5 is 105.

(7,15) are factors of 105 as 105 x 1 is 105.

So the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105.

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