Q: What is the total or count of factors of the number 143,242,240?

 A: 88

How do I find the total factors of the number 143,242,240?

Step 1

Find the prime factorization of the number 143,242,240.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
143,242,240
Factor Arrows
271,621,120
Factor Arrows
235,810,560
Factor Arrows
217,905,280
Factor Arrows
28,952,640
Factor Arrows
24,476,320
Factor Arrows
22,238,160
Factor Arrows
21,119,080
Factor Arrows
2559,540
Factor Arrows
2279,770
Factor Arrows
2139,885
Factor Arrows
527,977
Factor Arrows
101277

The prime factorization in exponential form is: 210 x 51 x 1011 x 2771

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

143,242,240 = 210 x 51 x 1011 x 2771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(143242240) = (10 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(143242240) = (11)(2)(2)(2)
Down Arrow
d(143242240) = 88

More numbers for you to try

Take a look at the factors page to see the factors of 143,242,240 and how to find them.

Try the factor calculator.

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