Q: What is the total or count of factors of the number 13,667,040?

 A: 72

How do I find the total factors of the number 13,667,040?

Step 1

Find the prime factorization of the number 13,667,040.

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

Factor Tree
13,667,040
Factor Arrows
26,833,520
Factor Arrows
23,416,760
Factor Arrows
21,708,380
Factor Arrows
2854,190
Factor Arrows
2427,095
Factor Arrows
3142,365
Factor Arrows
347,455
Factor Arrows
59,491

The prime factorization in exponential form is: 25 x 32 x 51 x 9,4911

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.

13,667,040 = 25 x 32 x 51 x 9,4911
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(13667040) = (5 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(13667040) = (6)(3)(2)(2)
Down Arrow
d(13667040) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 13,667,040 and how to find them.

Try the factor calculator.

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