Answer :

To find the factor pairs of the number 57, we need to find two numbers that multiply together to give 57. Let's work through the possible pairs:

1. Start by checking small numbers:
- 1 and 57: Since any number multiplied by 1 is the number itself, (1, 57) is a factor pair.

2. Check if 57 is divisible by any smaller prime numbers:
- 2: 57 is an odd number, so it is not divisible by 2.
- 3: If you add the digits of 57 (5 + 7 = 12), 12 is divisible by 3. So, 57 is divisible by 3. Dividing 57 by 3 gives us 19. Therefore, (3, 19) is another factor pair.

3. Consider the pairs redundantly:
- Using (1, 57) and (3, 19), we can also represent them as (57, 1) and (19, 3). These are essentially the same pairs, just in a different order.

So, the factor pairs of 57 are:
- (57, 1)
- (3, 19)
- (19, 3)

The given fields can be filled in based on this information:
- For [tex]$\qquad$[/tex] and 57, you would fill in: 1
- For 3 and [tex]$\qquad$[/tex], you would fill in: 19
- For [tex]$\square$[/tex] and 57, you would fill in: 1
- For 3 and [tex]$\square$[/tex], you would fill in: 19

Therefore, the factor pairs of 57 are correctly identified as:
- 1 and 57
- 3 and 19

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