Q: What are the prime factors of the number 1,094,912?

 A: 2, 7, 13, 47

Why are those the prime factors of the number 1,094,912?

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 1,094,912

1,094,912
Factor Arrows
2547,456
Factor Arrows
2273,728
Factor Arrows
2136,864
Factor Arrows
268,432
Factor Arrows
234,216
Factor Arrows
217,108
Factor Arrows
28,554
Factor Arrows
24,277
Factor Arrows
7611
Factor Arrows
1347

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, 7, 13, 47

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 7 x 13 x 47 = 1,094,912

This can also be written as 28 x 71 x 131 x 471 = 1,094,912

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


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