Factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, and 9450

How to find factors of a number

1. Steps to find factors of 9450 using Division Method

Example: Find factors of 9450

  • Divide 9450 by 1: 9450 ÷ 1 : Remainder = 0
  • Divide 9450 by 2: 9450 ÷ 2 : Remainder = 0
  • Divide 9450 by 3: 9450 ÷ 3 : Remainder = 0
  • Divide 9450 by 5: 9450 ÷ 5 : Remainder = 0
  • Divide 9450 by 6: 9450 ÷ 6 : Remainder = 0
  • Divide 9450 by 7: 9450 ÷ 7 : Remainder = 0
  • Divide 9450 by 9: 9450 ÷ 9 : Remainder = 0
  • Divide 9450 by 10: 9450 ÷ 10 : Remainder = 0
  • Divide 9450 by 14: 9450 ÷ 14 : Remainder = 0
  • Divide 9450 by 15: 9450 ÷ 15 : Remainder = 0
  • Divide 9450 by 18: 9450 ÷ 18 : Remainder = 0
  • Divide 9450 by 21: 9450 ÷ 21 : Remainder = 0
  • Divide 9450 by 25: 9450 ÷ 25 : Remainder = 0
  • Divide 9450 by 27: 9450 ÷ 27 : Remainder = 0
  • Divide 9450 by 30: 9450 ÷ 30 : Remainder = 0
  • Divide 9450 by 35: 9450 ÷ 35 : Remainder = 0
  • Divide 9450 by 42: 9450 ÷ 42 : Remainder = 0
  • Divide 9450 by 45: 9450 ÷ 45 : Remainder = 0
  • Divide 9450 by 50: 9450 ÷ 50 : Remainder = 0
  • Divide 9450 by 54: 9450 ÷ 54 : Remainder = 0
  • Divide 9450 by 63: 9450 ÷ 63 : Remainder = 0
  • Divide 9450 by 70: 9450 ÷ 70 : Remainder = 0
  • Divide 9450 by 75: 9450 ÷ 75 : Remainder = 0
  • Divide 9450 by 90: 9450 ÷ 90 : Remainder = 0
  • Divide 9450 by 105: 9450 ÷ 105 : Remainder = 0
  • Divide 9450 by 126: 9450 ÷ 126 : Remainder = 0
  • Divide 9450 by 135: 9450 ÷ 135 : Remainder = 0
  • Divide 9450 by 150: 9450 ÷ 150 : Remainder = 0
  • Divide 9450 by 175: 9450 ÷ 175 : Remainder = 0
  • Divide 9450 by 189: 9450 ÷ 189 : Remainder = 0
  • Divide 9450 by 210: 9450 ÷ 210 : Remainder = 0
  • Divide 9450 by 225: 9450 ÷ 225 : Remainder = 0
  • Divide 9450 by 270: 9450 ÷ 270 : Remainder = 0
  • Divide 9450 by 315: 9450 ÷ 315 : Remainder = 0
  • Divide 9450 by 350: 9450 ÷ 350 : Remainder = 0
  • Divide 9450 by 378: 9450 ÷ 378 : Remainder = 0
  • Divide 9450 by 450: 9450 ÷ 450 : Remainder = 0
  • Divide 9450 by 525: 9450 ÷ 525 : Remainder = 0
  • Divide 9450 by 630: 9450 ÷ 630 : Remainder = 0
  • Divide 9450 by 675: 9450 ÷ 675 : Remainder = 0
  • Divide 9450 by 945: 9450 ÷ 945 : Remainder = 0
  • Divide 9450 by 1050: 9450 ÷ 1050 : Remainder = 0
  • Divide 9450 by 1350: 9450 ÷ 1350 : Remainder = 0
  • Divide 9450 by 1575: 9450 ÷ 1575 : Remainder = 0
  • Divide 9450 by 1890: 9450 ÷ 1890 : Remainder = 0
  • Divide 9450 by 3150: 9450 ÷ 3150 : Remainder = 0
  • Divide 9450 by 4725: 9450 ÷ 4725 : Remainder = 0
  • Divide 9450 by 9450: 9450 ÷ 9450 : Remainder = 0

Hence, Factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, and 9450

2. Steps to find factors of 9450 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 9450 using the division method, follow these steps:

  • Step 1. Start dividing 9450 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 9450, which is 2. Divide 9450 by 2 to obtain the quotient (4725).
    9450 ÷ 2 = 4725
  • Step 3. Repeat step 1 with the obtained quotient (4725).
    4725 ÷ 3 = 1575
    1575 ÷ 3 = 525
    525 ÷ 3 = 175
    175 ÷ 5 = 35
    35 ÷ 5 = 7
    7 ÷ 7 = 1

So, the prime factorization of 9450 is, 9450 = 2 x 3 x 3 x 3 x 5 x 5 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 9450 as shown below:

So, the prime factorization of 9450 is, 9450 = 2 x 3 x 3 x 3 x 5 x 5 x 7.

3. Find factors of 9450 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 9450 would be the two numbers which, when multiplied, give 9450 as the result.

The following table represents the calculation of factors of 9450 in pairs:

Factor Pair Pair Factorization
1 and 9450 1 x 9450 = 9450
2 and 4725 2 x 4725 = 9450
3 and 3150 3 x 3150 = 9450
5 and 1890 5 x 1890 = 9450
6 and 1575 6 x 1575 = 9450
7 and 1350 7 x 1350 = 9450
9 and 1050 9 x 1050 = 9450
10 and 945 10 x 945 = 9450
14 and 675 14 x 675 = 9450
15 and 630 15 x 630 = 9450
18 and 525 18 x 525 = 9450
21 and 450 21 x 450 = 9450
25 and 378 25 x 378 = 9450
27 and 350 27 x 350 = 9450
30 and 315 30 x 315 = 9450
35 and 270 35 x 270 = 9450
42 and 225 42 x 225 = 9450
45 and 210 45 x 210 = 9450
50 and 189 50 x 189 = 9450
54 and 175 54 x 175 = 9450
63 and 150 63 x 150 = 9450
70 and 135 70 x 135 = 9450
75 and 126 75 x 126 = 9450
90 and 105 90 x 105 = 9450

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 9450. They are called negative pair factors.

Hence, the negative pairs of 9450 would be ( -1 , -9450 ) , ( -2 , -4725 ) , ( -3 , -3150 ) , ( -5 , -1890 ) , ( -6 , -1575 ) , ( -7 , -1350 ) , ( -9 , -1050 ) , ( -10 , -945 ) , ( -14 , -675 ) , ( -15 , -630 ) , ( -18 , -525 ) , ( -21 , -450 ) , ( -25 , -378 ) , ( -27 , -350 ) , ( -30 , -315 ) , ( -35 , -270 ) , ( -42 , -225 ) , ( -45 , -210 ) , ( -50 , -189 ) , ( -54 , -175 ) , ( -63 , -150 ) , ( -70 , -135 ) , ( -75 , -126 ) and ( -90 , -105 ) .

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 9450 is a factor of itself.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450 are exact divisors of 9450.
  • 1 is a factor of every number. Eg. 1 is a factor of 9450.
  • Every number is a factor of zero (0), since 9450 x 0 = 0.

Frequently Asked Questions

  • Which is the smallest prime factor of 9450?

    Smallest prime factor of 9450 is 2.

  • Is 9450 a perfect square?

    No 9450 is not a perfect square.

  • What are five multiples of 9450?

    First five multiples of 9450 are 18900, 28350, 37800, 47250, 56700.

  • What is prime factorization of 9450?

    Prime factorization of 9450 is 2 x 3 x 3 x 3 x 5 x 5 x 7.

  • What are factors of 9450?

    Factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450.

  • How do you find factors of a negative number? ( eg. -9450 )?

    Factors of -9450 are -1, -2, -3, -5, -6, -7, -9, -10, -14, -15, -18, -21, -25, -27, -30, -35, -42, -45, -50, -54, -63, -70, -75, -90, -105, -126, -135, -150, -175, -189, -210, -225, -270, -315, -350, -378, -450, -525, -630, -675, -945, -1050, -1350, -1575, -1890, -3150, -4725, -9450.

  • Is 9450 a whole number?

    Yes 9450 is a whole number.

  • Which is greatest factor of 9450?

    The greatest factor of 9450 is 4725.

  • What are the prime factors of 9450?

    The factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450.
    Prime factors of 9450 are 2, 3, 3, 3, 5, 5, 7.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 9450. Can you help her?

Prime factors of 9450 are 2, 3, 3, 3, 5, 5, 7.
Hence, the product of prime factors of 210.

Can you help Rubel to find out the product of the even factors of 9450?

Factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450.
Even factors of 9450 are 2, 6, 10, 14, 18, 30, 42, 50, 54, 70, 90, 126, 150, 210, 270, 350, 378, 450, 630, 1050, 1350, 1890, 3150, 9450.
Hence, product of even factors of 9450 is; 2 x 6 x 10 x 14 x 18 x 30 x 42 x 50 x 54 x 70 x 90 x 126 x 150 x 210 x 270 x 350 x 378 x 450 x 630 x 1050 x 1350 x 1890 x 3150 x 9450 = 2.077502954475117e+51.

Joy wants to calculate mean of all the factors of 9450. Help him in finding the mean of 9450.

Factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 9450 is 1 + 2 + 3 + 5 + 6 + 7 + 9 + 10 + 14 + 15 + 18 + 21 + 25 + 27 + 30 + 35 + 42 + 45 + 50 + 54 + 63 + 70 + 75 + 90 + 105 + 126 + 135 + 150 + 175 + 189 + 210 + 225 + 270 + 315 + 350 + 378 + 450 + 525 + 630 + 675 + 945 + 1050 + 1350 + 1575 + 1890 + 3150 + 4725 + 9450 = 29760.
Hence, the mean of factors of 9450 is 29760 ÷ 48 = 620.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 9450? Help her in writing all the factors.

Positive factors are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450.
Negative factors are -1, -2, -3, -5, -6, -7, -9, -10, -14, -15, -18, -21, -25, -27, -30, -35, -42, -45, -50, -54, -63, -70, -75, -90, -105, -126, -135, -150, -175, -189, -210, -225, -270, -315, -350, -378, -450, -525, -630, -675, -945, -1050, -1350, -1575, -1890, -3150, -4725, -9450.

How many factors are there for 9450?

Factors of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725, 9450.
So there are in total 48 factors.

Joey wants to write all the prime factors of 9450 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 9450 are 2, 3, 3, 3, 5, 5, 7.
So in exponential form it can be written as 2 x 33 x 52 x 7.

Kevin has been asked to write 47 factor(s) of 9450. Can you predict the answer?

47 factor(s) of 9450 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 90, 105, 126, 135, 150, 175, 189, 210, 225, 270, 315, 350, 378, 450, 525, 630, 675, 945, 1050, 1350, 1575, 1890, 3150, 4725.