Q: What is the total or count of factors of the number 48,485,000?

 A: 40

How do I find the total factors of the number 48,485,000?

Step 1

Find the prime factorization of the number 48,485,000.

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

Factor Tree
48,485,000
Factor Arrows
224,242,500
Factor Arrows
212,121,250
Factor Arrows
26,060,625
Factor Arrows
51,212,125
Factor Arrows
5242,425
Factor Arrows
548,485
Factor Arrows
59,697

The prime factorization in exponential form is: 23 x 54 x 9,6971

Step 2

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

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

48,485,000 = 23 x 54 x 9,6971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(48485000) = (3 + 1)(4 + 1)(1 + 1)
Down Arrow
d(48485000) = (4)(5)(2)
Down Arrow
d(48485000) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 48,485,000 and how to find them.

Try the factor calculator.

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