Factors of 35

Factors of 35 are those numbers that, when multiplied together, give the result of 35. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. We will use the multiplication method to find the factors of 35.

Factors Calculator

What are the factors of 35?

The method of calculating the factors of 35 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 35 are the factors of 35.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 35 ÷ 1 = 35, So put them in your factor list.

1, …….. 35

(ii) 35 ÷ 2 = 17.5, gives remainder 17.5, not being completely divided. So we will not write two on the list.

(iii) 35 ÷ 3 = 11.66, gives remainder 11.66, not being completely divided. So we will not write three on the list.

(iv) 35 ÷ 4 = 8.75, gives remainder 8.75, not being completely divided. So we will not write
four on the list.

(v) 35 ÷ 5 = 7, gives remainder 0 and so are divisible by 5. So please put them 5 and 7 in your factor list.

1, 5 …….. 7, 35

(vi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 5, 7, and 35 are factors of 35.

Factors of (- 35)

As – 5 and – 7 are negative factors because you get a positive number by multiplying two negatives, like (- 5) × (- 7) = 35.

Therefore, – 1, – 5, – 7, and – 35 are Nagetive factors of 35.

All factors of 35

Here is a list of all the positive and negative factors of 35 in numerical order.

1, 5, 7, 35, – 1, – 5, – 7, – 35

Therefore, 1, 5, 7, 35, – 1, – 5, – 7 and – 35 are All factors of 35.

Factor pairs of 35

1 x 35 = 35
5 x 7 = 35

So, (1, 35), (5, 7) are factor pairs of 35

Prime Factors of 35

35 ÷ 5 = 7
7 ÷ 7 = 1

Therefore, 5 x 7 are Prime factorization of 35.

Factor tree of 35

         35
        /  \
       5    7

Factors of 35 Solved Examples

Find the common factors of 35 and 36.

Solving:

The factors of 35 are 1, 5, 7, and 35.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Therefore, the common factor of 35 and 34 is 1.

Find the common factors of 35 and 32.

Solving:

Factors of 35 = 1, 5, 7 and 35.
Factors of 32 = 1, 2, 4, 8, 16 and 32.

Therefore, the common factor of 35 and 32 is 1.

Find the common factors of 35 and 17.

Solving:

The factors of 35 are 1, 5, 7 and 35.
The factors of19 are 1 and 19.

As 19 is a prime number, the common factor of 35 and 19 is 1 only.

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