Q: What are the prime factors of the number 964,432?

 A: 2, 7, 79, 109

Why are those the prime factors of the number 964,432?

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 964,432

964,432
Factor Arrows
2482,216
Factor Arrows
2241,108
Factor Arrows
2120,554
Factor Arrows
260,277
Factor Arrows
78,611
Factor Arrows
79109

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, 79, 109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 79 x 109 = 964,432

This can also be written as 24 x 71 x 791 x 1091 = 964,432

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


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