Q: What are the prime factors of the number 1,031,680?

 A: 2, 5, 13, 31

Why are those the prime factors of the number 1,031,680?

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 1,031,680

1,031,680
Factor Arrows
2515,840
Factor Arrows
2257,920
Factor Arrows
2128,960
Factor Arrows
264,480
Factor Arrows
232,240
Factor Arrows
216,120
Factor Arrows
28,060
Factor Arrows
24,030
Factor Arrows
22,015
Factor Arrows
5403
Factor Arrows
1331

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, 13, 31

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 2 x 2 x 5 x 13 x 31 = 1,031,680

This can also be written as 29 x 51 x 131 x 311 = 1,031,680

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


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