components of 700 room numbers that, once multiplied in pairs offer the product together 700. It has complete 18 determinants of i beg your pardon 700 is the best factor and the prime determinants of 700 are 2, 5, 7. The amount of all factors of 700 is 1736.

You are watching: What are the prime factors of 700?

All factors of 700: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350 and also 700 Prime determinants of 700: 2, 5, 7 Prime administer of 700: 22 × 52 × 71 Sum of factors of 700: 1736
 1 What are the determinants of 700? 2 Factors of 700 by prime Factorization 3 Factors of 700 in Pairs 4 FAQs on determinants of 700

## What are determinants of 700?

Factors of 700 room pairs of those numbers whose products result in 700. These components are either element numbers or composite numbers.

### How to find the factors of 700?

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

700/7 = 100; therefore, 7 is a variable of 700 and 100 is additionally a element of 700.700/5 = 140; therefore, 5 is a aspect of 700 and 140 is also a aspect of 700. Similarly we can find other factors. Hence, the determinants of 700 space 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700.

☛ also Check:

## components of 700 by element Factorization

The number 700 is composite and also therefore that will have actually prime factors. Currently let us learn exactly how to calculation the prime factors of 700. The an initial step is to divide the number 700 v the smallest prime factor, right here it is 2. Us keep separating until it provides a non-zero remainder. 700 ÷ 2 = 350 350 ÷ 2 = 175

Further separating 175 through 2 provides a non-zero remainder. For this reason we protect against the process and continue dividing the number 175 through the following smallest element factor. We stop eventually if the next prime element doesn"t exist or once we can"t divide any type of further.

So, the prime factorization that 700 deserve to be created as 22 × 52 × 71 whereby 2, 5, 7 are prime.

## Factors that 700 in Pairs

Pair components of 700 space the bag of numbers that once multiplied provide 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 element of a number then (b, a) is likewise a pair aspect of that number.

## Factors the 700 solved Examples

Example 1: How many factors room there because that 700?

Solution:

The determinants of 700 space too many, as such if we can uncover the element factorization the 700, then the total number of factors deserve to be calculated using the formula presented below. If the prime factorization that the number is ax × by × cz wherein a, b, c space prime, climate the total number of factors can be provided by (x + 1)(y + 1)(z + 1). element Factorization the 700 = 22 × 52 × 71 Therefore, the total number of factors room (2 + 1) × (2 + 1) × (1 + 1) = 3 × 3 × 2 = 18

example 3: uncover if 5, 7, 25, 28, 35, 84, 100 and also 140 are determinants of 700.

Solution:

when we division 700 by 84 it leaves a remainder. Therefore, the number 84 is no a factor of 700. All numbers except 84 are factors of 700.

example 4: discover the product of every the prime factors of 700.

See more: Ripple Marks Likely Indicate That A Rock Formed _____, Chapter 4: Sedimentary Structures

Solution:

Since, the prime factors of 700 are 2, 5, 7. Therefore, the product of prime determinants = 2 × 5 × 7 = 70.

Show systems >

go come slidego come slidego come slidego come slide

Ready to check out the human being through math’s eyes?
Math is in ~ the main point of everything we do. Gain solving real-world math problems in live classes and become an skilled at everything.

Book a cost-free Trial Class

## Interactive Questions

Check your Answers >

go to slidego to slidego to slidego to slidego to slide

## FAQs on components of 700

### What space the components of 700?

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700 and also its an adverse factors are -1, -2, -4, -5, -7, -10, -14, -20, -25, -28, -35, -50, -70, -100, -140, -175, -350, -700.

### What is the amount of determinants of 700?

amount of all determinants of 700 = (22 + 1 - 1)/(2 - 1) × (52 + 1 - 1)/(5 - 1) × (71 + 1 - 1)/(7 - 1) = 1736

### What space the Pair factors of 700?

The pair components of 700 space (1, 700), (2, 350), (4, 175), (5, 140), (7, 100), (10, 70), (14, 50), (20, 35), (25, 28).

### What is the Greatest typical Factor of 700 and also 107?

The determinants of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700 and the determinants of 107 room 1, 107. 700 and 107 have actually only one typical factor which is 1. This suggests that 700 and 107 space co-prime. Hence, the Greatest typical Factor (GCF) the 700 and 107 is 1.

### How countless Factors the 700 are also common to the factors of 588?

Since, the determinants of 700 space 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700 and the determinants of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. Hence, <1, 2, 4, 7, 14, 28> are the usual factors the 700 and also 588.