Q: What is the total or count of factors of the number 114,427,770?

 A: 32

How do I find the total factors of the number 114,427,770?

Step 1

Find the prime factorization of the number 114,427,770.

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

Factor Tree
114,427,770
Factor Arrows
257,213,885
Factor Arrows
319,071,295
Factor Arrows
53,814,259
Factor Arrows
19319,763

The prime factorization in exponential form is: 21 x 31 x 51 x 1931 x 19,7631

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)(e + 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.

114,427,770 = 21 x 31 x 51 x 1931 x 19,7631
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(114427770) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(114427770) = (2)(2)(2)(2)(2)
Down Arrow
d(114427770) = 32

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Take a look at the factors page to see the factors of 114,427,770 and how to find them.

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