Q: What are the prime factors of the number 611,050,248?

 A: 2, 3, 8486809

Why are those the prime factors of the number 611,050,248?

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 611,050,248

611,050,248
Factor Arrows
2305,525,124
Factor Arrows
2152,762,562
Factor Arrows
276,381,281
Factor Arrows
325,460,427
Factor Arrows
38,486,809

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, 8486809

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 8,486,809 = 611,050,248

This can also be written as 23 x 32 x 8,486,8091 = 611,050,248

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


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