Q: What is the total or count of factors of the number 452,213,340?

 A: 48

How do I find the total factors of the number 452,213,340?

Step 1

Find the prime factorization of the number 452,213,340.

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

Factor Tree
452,213,340
Factor Arrows
2226,106,670
Factor Arrows
2113,053,335
Factor Arrows
337,684,445
Factor Arrows
57,536,889
Factor Arrows
46116,349

The prime factorization in exponential form is: 22 x 31 x 51 x 4611 x 16,3491

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.

452,213,340 = 22 x 31 x 51 x 4611 x 16,3491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(452213340) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(452213340) = (3)(2)(2)(2)(2)
Down Arrow
d(452213340) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 452,213,340 and how to find them.

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