Factors of 44 are numbers, which when multiplied together in pairs of two gives the result 44. We can also say that a factor is a number that divides a number completely, leaving zero as a remainder. To find the factors of 44, we will use the multiplication method here.

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### What are the factors of 44?

The method of calculating the factors of 44 is as follows. First, every number is divisible by itself and 1.

therefore, the factors of 44 are 1, …..

we can find all factors of a number by dividing it by 1, 2, 3, 4…..

(i) 44 ÷ 1 = 44, gives remainder 0 and so are divisible by 44. So put them in your factor list.

1, …….. 44

(ii) 44 ÷ 2 = 22, gives remainder 0 and so are divisible by 22. So put them in your factor list.

1, 2 …….. 22, 44

(iii) 44 ÷ 3 = 14.6, gives remainder 14.6, not being completely divided. So we will not write 3 on the list.

(iv) 44 ÷ 4 = 11, gives remainder 0 and so are divisible by 11. So put them in your factor list.

1, 2, 4…….. 11, 22, 44

(v) 44 ÷ 5 = 8.8, gives remainder 8.8, not being completely divided. So we will not write 5 on the list.

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

So 1, 2, 4…….. 11, 22, and 44 are a factor of 44.

The factors of 44

Answer: 1, 2, 4,11, 22, 44

### Factors of – 44

As – 2 and – 20 are negative factors, because you get a positive number by multiplying two negatives, like (- 2) × (- 20) = 44.

The factors of – 44

Answer: – 1, – 2, – 4, – 11, – 22, – 44

### All factors of 44

Here is a list of all the positive and negative factors of 44 in numerical order.

1, 2, 4, 11, 22, 44, – 1, – 2, – 4, – 11, – 22, – 44.

List all the factors of 44

Answer: 1, 2, 4, 11, 22, 44, – 1, – 2, – 4, – 11, – 22, – 44.

### Factor pairs of 44

1 x 44 = 44

2 x 22 = 44

4 x 11 = 44

So, (1, 44), (2, 22), (4, 11) are factor pair of 44

What are the factor pairs of 44?

Answer: (1, 44), (2, 22), (4, 11)

### Prime Factors of 44

44 ÷ 2 = 22

22 ÷ 2 = 11

11 ÷ 11 = 1

Prime factorization of 44

Answer: 2 x 2 x 11 or 2^{2} x 11

### Factor tree of 44

```
44
/ \
2 22
/ \
2 11
```

**Also See:**

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- Factors of 35
- Factors of 34
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