Q: What are the prime factors of the number 265,474,232?

 A: 2, 19, 1746541

Why are those the prime factors of the number 265,474,232?

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 265,474,232

265,474,232
Factor Arrows
2132,737,116
Factor Arrows
266,368,558
Factor Arrows
233,184,279
Factor Arrows
191,746,541

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, 19, 1746541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 1,746,541 = 265,474,232

This can also be written as 23 x 191 x 1,746,5411 = 265,474,232

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


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