Q: What is the total or count of factors of the number 61,250,256?

 A: 100

How do I find the total factors of the number 61,250,256?

Step 1

Find the prime factorization of the number 61,250,256.

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

Factor Tree
61,250,256
Factor Arrows
230,625,128
Factor Arrows
215,312,564
Factor Arrows
27,656,282
Factor Arrows
23,828,141
Factor Arrows
31,276,047
Factor Arrows
3425,349
Factor Arrows
3141,783
Factor Arrows
347,261
Factor Arrows
167283

The prime factorization in exponential form is: 24 x 34 x 1671 x 2831

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.

61,250,256 = 24 x 34 x 1671 x 2831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(61250256) = (4 + 1)(4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(61250256) = (5)(5)(2)(2)
Down Arrow
d(61250256) = 100

More numbers for you to try

Take a look at the factors page to see the factors of 61,250,256 and how to find them.

Try the factor calculator.

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