Q: What is the total or count of factors of the number 1,472,040?

 A: 128

How do I find the total factors of the number 1,472,040?

Step 1

Find the prime factorization of the number 1,472,040.

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

Factor Tree
1,472,040
Factor Arrows
2736,020
Factor Arrows
2368,010
Factor Arrows
2184,005
Factor Arrows
361,335
Factor Arrows
320,445
Factor Arrows
36,815
Factor Arrows
51,363
Factor Arrows
2947

The prime factorization in exponential form is: 23 x 33 x 51 x 291 x 471

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)(e + 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.

1,472,040 = 23 x 33 x 51 x 291 x 471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(1472040) = (3 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1472040) = (4)(4)(2)(2)(2)
Down Arrow
d(1472040) = 128

More numbers for you to try

Take a look at the factors page to see the factors of 1,472,040 and how to find them.

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