Q: What are the prime factors of the number 703,573,780?

 A: 2, 5, 7, 13, 193, 2003

Why are those the prime factors of the number 703,573,780?

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 703,573,780

703,573,780
Factor Arrows
2351,786,890
Factor Arrows
2175,893,445
Factor Arrows
535,178,689
Factor Arrows
75,025,527
Factor Arrows
13386,579
Factor Arrows
1932,003

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, 7, 13, 193, 2003

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 13 x 193 x 2,003 = 703,573,780

This can also be written as 22 x 51 x 71 x 131 x 1931 x 2,0031 = 703,573,780

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


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