Q: What are the prime factors of the number 1,225,280?

 A: 2, 5, 7, 547

Why are those the prime factors of the number 1,225,280?

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 1,225,280

1,225,280
Factor Arrows
2612,640
Factor Arrows
2306,320
Factor Arrows
2153,160
Factor Arrows
276,580
Factor Arrows
238,290
Factor Arrows
219,145
Factor Arrows
53,829
Factor Arrows
7547

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, 547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 547 = 1,225,280

This can also be written as 26 x 51 x 71 x 5471 = 1,225,280

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


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