Q: What are the prime factors of the number 225,141,300?

 A: 2, 3, 5, 37, 6761

Why are those the prime factors of the number 225,141,300?

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 225,141,300

225,141,300
Factor Arrows
2112,570,650
Factor Arrows
256,285,325
Factor Arrows
318,761,775
Factor Arrows
36,253,925
Factor Arrows
51,250,785
Factor Arrows
5250,157
Factor Arrows
376,761

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, 37, 6761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 37 x 6,761 = 225,141,300

This can also be written as 22 x 32 x 52 x 371 x 6,7611 = 225,141,300

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


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