Q: What are the prime factors of the number 1,642,880?

 A: 2, 5, 17, 151

Why are those the prime factors of the number 1,642,880?

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 1,642,880

1,642,880
Factor Arrows
2821,440
Factor Arrows
2410,720
Factor Arrows
2205,360
Factor Arrows
2102,680
Factor Arrows
251,340
Factor Arrows
225,670
Factor Arrows
212,835
Factor Arrows
52,567
Factor Arrows
17151

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, 17, 151

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 2 x 5 x 17 x 151 = 1,642,880

This can also be written as 27 x 51 x 171 x 1511 = 1,642,880

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


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