Q: What is the total or count of factors of the number 152,727,000?

 A: 64

How do I find the total factors of the number 152,727,000?

Step 1

Find the prime factorization of the number 152,727,000.

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

Factor Tree
152,727,000
Factor Arrows
276,363,500
Factor Arrows
238,181,750
Factor Arrows
219,090,875
Factor Arrows
36,363,625
Factor Arrows
51,272,725
Factor Arrows
5254,545
Factor Arrows
550,909

The prime factorization in exponential form is: 23 x 31 x 53 x 50,9091

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.

152,727,000 = 23 x 31 x 53 x 50,9091
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(152727000) = (3 + 1)(1 + 1)(3 + 1)(1 + 1)
Down Arrow
d(152727000) = (4)(2)(4)(2)
Down Arrow
d(152727000) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 152,727,000 and how to find them.

Try the factor calculator.

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