Q: What are the prime factors of the number 432,105,300?

 A: 2, 3, 5, 11, 14549

Why are those the prime factors of the number 432,105,300?

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 432,105,300

432,105,300
Factor Arrows
2216,052,650
Factor Arrows
2108,026,325
Factor Arrows
336,008,775
Factor Arrows
312,002,925
Factor Arrows
34,000,975
Factor Arrows
5800,195
Factor Arrows
5160,039
Factor Arrows
1114,549

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, 11, 14549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 14,549 = 432,105,300

This can also be written as 22 x 33 x 52 x 111 x 14,5491 = 432,105,300

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


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