Q: What are the prime factors of the number 223,144,570?

 A: 2, 5, 11, 184417

Why are those the prime factors of the number 223,144,570?

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 223,144,570

223,144,570
Factor Arrows
2111,572,285
Factor Arrows
522,314,457
Factor Arrows
112,028,587
Factor Arrows
11184,417

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, 5, 11, 184417

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 11 x 184,417 = 223,144,570

This can also be written as 21 x 51 x 112 x 184,4171 = 223,144,570

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


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