Q: What are the prime factors of the number 552,140?

 A: 2, 5, 19, 1453

Why are those the prime factors of the number 552,140?

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 552,140

552,140
Factor Arrows
2276,070
Factor Arrows
2138,035
Factor Arrows
527,607
Factor Arrows
191,453

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, 19, 1453

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 19 x 1,453 = 552,140

This can also be written as 22 x 51 x 191 x 1,4531 = 552,140

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


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