Q: What are the prime factors of the number 612,466,056?

 A: 2, 3, 2835491

Why are those the prime factors of the number 612,466,056?

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 612,466,056

612,466,056
Factor Arrows
2306,233,028
Factor Arrows
2153,116,514
Factor Arrows
276,558,257
Factor Arrows
325,519,419
Factor Arrows
38,506,473
Factor Arrows
32,835,491

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, 2835491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 2,835,491 = 612,466,056

This can also be written as 23 x 33 x 2,835,4911 = 612,466,056

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


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