Q: What are the prime factors of the number 703,464,222?

 A: 2, 3, 67, 1749911

Why are those the prime factors of the number 703,464,222?

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 703,464,222

703,464,222
Factor Arrows
2351,732,111
Factor Arrows
3117,244,037
Factor Arrows
671,749,911

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, 67, 1749911

We can check our work by multiplying all of the prime factors together: 2 x 3 x 67 x 1,749,911 = 703,464,222

This can also be written as 21 x 31 x 671 x 1,749,9111 = 703,464,222

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


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