Q: What are the prime factors of the number 60,544,350?

 A: 2, 3, 5, 83, 1621

Why are those the prime factors of the number 60,544,350?

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 60,544,350

60,544,350
Factor Arrows
230,272,175
Factor Arrows
310,090,725
Factor Arrows
33,363,575
Factor Arrows
5672,715
Factor Arrows
5134,543
Factor Arrows
831,621

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, 83, 1621

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 83 x 1,621 = 60,544,350

This can also be written as 21 x 32 x 52 x 831 x 1,6211 = 60,544,350

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


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