Q: What is the total or count of factors of the number 53,241,440?

 A: 72

How do I find the total factors of the number 53,241,440?

Step 1

Find the prime factorization of the number 53,241,440.

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

Factor Tree
53,241,440
Factor Arrows
226,620,720
Factor Arrows
213,310,360
Factor Arrows
26,655,180
Factor Arrows
23,327,590
Factor Arrows
21,663,795
Factor Arrows
5332,759
Factor Arrows
747,537
Factor Arrows
76,791

The prime factorization in exponential form is: 25 x 51 x 72 x 6,7911

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.

53,241,440 = 25 x 51 x 72 x 6,7911
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(53241440) = (5 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(53241440) = (6)(2)(3)(2)
Down Arrow
d(53241440) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 53,241,440 and how to find them.

Try the factor calculator.

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