Q: What is the total or count of factors of the number 87,766,840?

 A: 64

How do I find the total factors of the number 87,766,840?

Step 1

Find the prime factorization of the number 87,766,840.

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

Factor Tree
87,766,840
Factor Arrows
243,883,420
Factor Arrows
221,941,710
Factor Arrows
210,970,855
Factor Arrows
52,194,171
Factor Arrows
7313,453
Factor Arrows
744,779
Factor Arrows
76,397

The prime factorization in exponential form is: 23 x 51 x 73 x 6,3971

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.

87,766,840 = 23 x 51 x 73 x 6,3971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(87766840) = (3 + 1)(1 + 1)(3 + 1)(1 + 1)
Down Arrow
d(87766840) = (4)(2)(4)(2)
Down Arrow
d(87766840) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 87,766,840 and how to find them.

Try the factor calculator.

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