Q: What are the prime factors of the number 222,020,010?

 A: 2, 3, 5, 47, 73, 719

Why are those the prime factors of the number 222,020,010?

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 222,020,010

222,020,010
Factor Arrows
2111,010,005
Factor Arrows
337,003,335
Factor Arrows
312,334,445
Factor Arrows
52,466,889
Factor Arrows
4752,487
Factor Arrows
73719

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, 47, 73, 719

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 47 x 73 x 719 = 222,020,010

This can also be written as 21 x 32 x 51 x 471 x 731 x 7191 = 222,020,010

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


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