Q: What are the prime factors of the number 62,421,450?

 A: 2, 3, 5, 7, 13, 17, 269

Why are those the prime factors of the number 62,421,450?

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 62,421,450

62,421,450
Factor Arrows
231,210,725
Factor Arrows
310,403,575
Factor Arrows
52,080,715
Factor Arrows
5416,143
Factor Arrows
759,449
Factor Arrows
134,573
Factor Arrows
17269

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, 7, 13, 17, 269

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 7 x 13 x 17 x 269 = 62,421,450

This can also be written as 21 x 31 x 52 x 71 x 131 x 171 x 2691 = 62,421,450

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


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