Q: What are the prime factors of the number 198,992,216?

 A: 2, 37, 672271

Why are those the prime factors of the number 198,992,216?

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 198,992,216

198,992,216
Factor Arrows
299,496,108
Factor Arrows
249,748,054
Factor Arrows
224,874,027
Factor Arrows
37672,271

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, 37, 672271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 37 x 672,271 = 198,992,216

This can also be written as 23 x 371 x 672,2711 = 198,992,216

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


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