Q: What are the prime factors of the number 610,033,104?

 A: 2, 3, 4236341

Why are those the prime factors of the number 610,033,104?

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 610,033,104

610,033,104
Factor Arrows
2305,016,552
Factor Arrows
2152,508,276
Factor Arrows
276,254,138
Factor Arrows
238,127,069
Factor Arrows
312,709,023
Factor Arrows
34,236,341

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, 4236341

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 4,236,341 = 610,033,104

This can also be written as 24 x 32 x 4,236,3411 = 610,033,104

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


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