Q: What are the prime factors of the number 243,779,956?

 A: 2, 7, 19, 503, 911

Why are those the prime factors of the number 243,779,956?

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 243,779,956

243,779,956
Factor Arrows
2121,889,978
Factor Arrows
260,944,989
Factor Arrows
78,706,427
Factor Arrows
19458,233
Factor Arrows
503911

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, 7, 19, 503, 911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 19 x 503 x 911 = 243,779,956

This can also be written as 22 x 71 x 191 x 5031 x 9111 = 243,779,956

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


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