Q: What are the prime factors of the number 55,611,008?

 A: 2, 434461

Why are those the prime factors of the number 55,611,008?

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 55,611,008

55,611,008
Factor Arrows
227,805,504
Factor Arrows
213,902,752
Factor Arrows
26,951,376
Factor Arrows
23,475,688
Factor Arrows
21,737,844
Factor Arrows
2868,922
Factor Arrows
2434,461

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, 434461

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 434,461 = 55,611,008

This can also be written as 27 x 434,4611 = 55,611,008

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


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