What Are The Prime Factors Of 700 Weegy

Factors of 700 are numbers that, when multiplied in pairs give the product as 700. It has total 18 factors of which 700 is the biggest factor and the prime factors of 700 are 2, 5, 7. The sum of all factors of 700 is 1736.

• All Factors of 700: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350 and 700
• Prime Factors of 700: 2, 5, 7
• Prime Factorization of 700: 22 × 52 × 71
• Sum of Factors of 700: 1736

1. What Are the Factors of 700? 2. Factors of 700 by Prime Factorization 3. Factors of 700 in Pairs 4. FAQs on Factors of 700

You are viewing: What Are The Prime Factors Of 700 Weegy

Factors of 700 are pairs of those numbers whose products result in 700. These factors are either prime numbers or composite numbers.

How to Find the Factors of 700?

To find the factors of 700, we will have to find the list of numbers that would divide 700 without leaving any remainder.

• 700/7 = 100; therefore, 7 is a factor of 700 and 100 is also a factor of 700.
• 700/5 = 140; therefore, 5 is a factor of 700 and 140 is also a factor of 700.

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Similarly we can find other factors. Hence, the factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700.

☛ Also Check:

• Factors of 17 – The factors of 17 are 1, 17
• Factors of 70 – The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
• Factors of 22 – The factors of 22 are 1, 2, 11, 22
• Factors of 128 – The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 36 – The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The number 700 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 700. The first step is to divide the number 700 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 700 ÷ 2 = 350
• 350 ÷ 2 = 175

Further dividing 175 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 175 by the next smallest prime factor. We stop ultimately if the next prime factor doesn’t exist or when we can’t divide any further.

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So, the prime factorization of 700 can be written as 22 × 52 × 71 where 2, 5, 7 are prime.

Pair factors of 700 are the pairs of numbers that when multiplied give the product 700. The factors of 700 in pairs are:

• 1 × 700 = (1, 700)
• 2 × 350 = (2, 350)
• 4 × 175 = (4, 175)
• 5 × 140 = (5, 140)
• 7 × 100 = (7, 100)
• 10 × 70 = (10, 70)
• 14 × 50 = (14, 50)
• 20 × 35 = (20, 35)
• 25 × 28 = (25, 28)

Negative pair factors of 700 are:

• -1 × -700 = (-1, -700)
• -2 × -350 = (-2, -350)
• -4 × -175 = (-4, -175)
• -5 × -140 = (-5, -140)
• -7 × -100 = (-7, -100)
• -10 × -70 = (-10, -70)
• -14 × -50 = (-14, -50)
• -20 × -35 = (-20, -35)
• -25 × -28 = (-25, -28)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

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