Q: What are the prime factors of the number 741,420,780?

 A: 2, 3, 5, 103, 119971

Why are those the prime factors of the number 741,420,780?

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 741,420,780

741,420,780
Factor Arrows
2370,710,390
Factor Arrows
2185,355,195
Factor Arrows
361,785,065
Factor Arrows
512,357,013
Factor Arrows
103119,971

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, 103, 119971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 103 x 119,971 = 741,420,780

This can also be written as 22 x 31 x 51 x 1031 x 119,9711 = 741,420,780

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


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