Q: What are the prime factors of the number 244,050,516?

 A: 2, 3, 19, 23, 5171

Why are those the prime factors of the number 244,050,516?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 244,050,516

244,050,516
Factor Arrows
2122,025,258
Factor Arrows
261,012,629
Factor Arrows
320,337,543
Factor Arrows
36,779,181
Factor Arrows
32,259,727
Factor Arrows
19118,933
Factor Arrows
235,171

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 19, 23, 5171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 19 x 23 x 5,171 = 244,050,516

This can also be written as 22 x 33 x 191 x 231 x 5,1711 = 244,050,516

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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