Q: What are the prime factors of the number 611,246,340?

 A: 2, 3, 5, 19, 29, 6163

Why are those the prime factors of the number 611,246,340?

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 611,246,340

611,246,340
Factor Arrows
2305,623,170
Factor Arrows
2152,811,585
Factor Arrows
350,937,195
Factor Arrows
316,979,065
Factor Arrows
53,395,813
Factor Arrows
19178,727
Factor Arrows
296,163

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, 5, 19, 29, 6163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 19 x 29 x 6,163 = 611,246,340

This can also be written as 22 x 32 x 51 x 191 x 291 x 6,1631 = 611,246,340

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


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